SELIGMAN FRONTIER FUND INC
24F-2NT, 1996-11-26
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                     U.S. SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549


                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2



1.      Name and address of issuer:         Seligman Frontier Fund, Inc.
                                            100 Park Avenue
                                            New York, NY 10017

2.      Name of each series or class of funds for which this notice is filed:

        Seligman Frontier Fund, Inc. - Class A
        Seligman Frontier Fund, Inc. - Class B
        Seligman Frontier Fund, Inc. - Class D

3.      Investment Company Act File Number:                            811-4078

        Securities Act File Number:                                     2-92487


4.      Last day of fiscal year for which this notice is filed:         9/30/96


5.     Check box if this  notice  is being  filed  more than 180 days  after the
       close of the issuer's  fiscal year for  purposes of reporting  securities
       sold after the close of the fiscal  year but  before  termination  of the
       issuer's 24f-2 declaration:
                                                                         [   ]


6.      Date of termination of issuer's declaration under rule 24f-2(a)(1),
        if applicable:


7.     Number and  amount of  securities  of the same class or series  which had
       been  registered  under the Securities Act of 1933 other than pursuant to
       rule  24f-2 in a prior  fiscal  year,  but which  remained  unsold at the
       beginning of the fiscal year:


8.     Number and amount of securities registered during the fiscal year other
       than pursuant to rule 24f-2:


9.      Number and aggregate sale price of securities sold during the fiscal
        year:

        SHARES      SALE PRICE
    43,121,334     616,943,537


<PAGE>





Securities and Exchange Commission                            November 26, 1996
Division of Investment Management
                                       -2-

10. Number and aggregate sale price of securities sold during the fiscal year in
reliance upon registration pursuant to rule 24f-2:

        SHARES      SALE PRICE
    43,121,334     616,943,537

11.    Number and aggregate  sale price of  securities  issued during the fiscal
       year in connection with dividend reinvestment plans, if applicable:
       SHARES       SALE PRICE
   1,049,221,       14,034,641
12.     Calculation of registration fee:
<TABLE>
<CAPTION>
<S>                                                                                      <C>   
        (i)    Aggregate sale price of securities sold during the fiscal year in
               reliance on rule 24f-2 (from Item 10):                                      $    616,943,537

        (ii)   Aggregate price of shares issued in connection with dividend
               reinvestment plans (from Item 11):                                          +     14,034,641

        (iii)  Aggregate price of shares redeemed or repurchased during the fiscal year
               (if applicable):                                                            -    225,574,271

        (iv)   Aggregate price of shares redeemed or repurchased and previously applied
               as a reduction to filing fees pursuant to rule 24e-2 (if applicable):      +               0

        (v)    Net  aggregate  price of  securities  sold and issued  during the
               fiscal year in reliance on rule 24f-2 { line (i), plus line (ii),
               less line (iii), 405,403,907 plus line (iv)}

        (vi)    Multiplier prescribed by Section 6(b) of the Securities Act of 1933 or
                other applicable law or regulation:                                        x       0.000345

        (vii)   Fee due {line (i) or line (v) multiplied by line (vi)}:
                                                                                           $     139,864.35
</TABLE>

13.    Check box if fees are being remitted to the Commission's lockbox 
       depository as described in section 3a of the Commission's
       Rules of Informal and Other Procedures (17 CFR 202.3a).         [      ]

        Date of  mailing or wire  transfer  of filing  fees to the  Commission's
        lockbox depository:

                                                               November 25, 1996
                                   SIGNATURES

       This report has been signed below by the  following  persons on behalf of
       the issuer and in the capacities and on the dates indicated.

        By (Signature and Title)

                                 Thomas G. Rose
                                    Treasurer
Date:   November 26, 1996

<PAGE>

                          SELIGMAN FRONTIER FUND, INC.


        The undersigned,  Treasurer of Seligman  Frontier Fund, Inc., a Maryland
corporation (the "Company"), does hereby certify as follows:

        1. From October 1, 1995 through  September 30, 1996,  the Company issued
           an aggregate of 44,170,555 shares of its Capital Stock, $0.10 par
           value.

        2.     In respect of the issuance of such 44,170,555 shares, the 
               Company received aggregate cash consideration (net of any
               sales commissions) of $624,755,469.

        3.  With  respect  to each  share  issued,  the  Company  received  cash
            consideration not less than the net asset value per share on the
            date issued and not less than $0.10.

        4. At no time during the period from October 1, 1995  through  September
           30, 1996, were there more than 500,000,000 shares of the Company's
           Capital Stock issued and outstanding.

        In Witness  Whereof,  I have hereunto signed my name as Treasurer of the
Company.

Date:   October 28, 1996

                                                        /s/ Thomas G. Rose
                                                       ------------------------
                                                                 Thomas G. Rose
                                                                      Treasurer

<PAGE>



SULLIVAN & CROMWELL
<TABLE>
<S>                                                     <C>

NEW YORK TELEPHONE: (212) 558-4000
TELEX: 62694 (INTERNATIONAL) 127816 (DOMESTIC)
CABLE ADDRESS: LADYCOURT, NEW YORK                                        125 Broad Street, New York 10004-2498
FACSIMILE: (212) 558-3588 (125 Broad Street)                                          -------------
         (212) 558-3792 (250 Park Avenue)                                  250 PARK AVENUE, NEW YORK 10177-0021
                                                        1701 PENNSYLVANIA AVE, N.W. WASHINGTON, D.C. 20006-5805
                                                                444 SOUTH FLOWER STREET, LOS ANGELES 90071-2901
                                                                                  8, PLACE VENDOME, 75001 PARIS
                                                         ST. OLAVE'S HOUSE, 9a IRONMONGER LANE, LONDON EC2V 8EY
                                                                             101 COLLINS STREET, MELBOURNE 3000
                                                                 2-1, MARUNOUCHI I-CHOME, CHIYODA-KU, TOKYO 100
                                                                          NINE QUEEN'S ROAD, CENTRAL, HONG KONG
</TABLE>




                                                  November 18, 1996



Seligman Frontier Fund, Inc.,
  100 Park Avenue,
    New York, New York 10017.

Dear Sirs:

          You have requested our opinion in connection with the notice which you
propose to file pursuant to Rule 24f-2 under the Investment Company Act of 1940
with respect to 44,170,555 shares of Capital Stock, $0.10 par value, of Seligman
Frontier Fund, Inc. (the "Shares").

          As your counsel, we are familiar with your organization and corporate
status and validity of your Capital Stock.

          We advise you that, in our opinion, the Shares are legally and validly
issued, fully paid and nonassessable.

          The foregoing opinion is limited to the General Corporation Law of the
State of Maryland, and we are expressing no opinion as to the effect of the laws
of any other jurisdiction.

          We consent to the filing of this opinion with the Securities and
Exchange Commission in connection with the notice referred to above. In giving
such consent, we do not thereby admit that we come within the category of
persons whose consent is required under Section 7 of the Securities Act of 1933.


                                                  Very truly yours,

                                                  SULLIVAN & CROMWELL


<PAGE>



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