SELIGMAN FRONTIER FUND INC
24F-2NT, 1997-12-10
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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:         9/30/97


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
    30,180,459     436,131,282


<PAGE>





Securities and Exchange Commission                           December 10 1997
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
    30,180,459     436,131,282

11.    Number and aggregate  sale price of  securities  issued during the fiscal
       year in connection with dividend reinvestment plans, if applicable:
       SHARES       SALE PRICE
    3,304,549       45,453,870
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):                                      $    436,131,282

        (ii)   Aggregate price of shares issued in connection with dividend
               reinvestment plans (from Item 11):                                          +     45,453,870

        (iii)  Aggregate price of shares redeemed or repurchased during the fiscal year
               (if applicable):                                                            -    458,173,334

        (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),           23,411,818
               plus line (iv)}

        (vi)    Multiplier prescribed by Section 6(b) of the Securities Act of 1933 or
                other applicable law or regulation:                                        x       0.000303

        (vii)   Fee due {line (i) or line (v) multiplied by line (vi)}:
                                                                                           $       7.094.49
</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:

                                                             December 10, 1997
                                   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
                                        /s/
                                    Treasurer
Date:   December 10, 1997


                          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, 1996 through  September 30, 1997,  the Company issued
an aggregate of 33,485,009 shares of its Capital Stock, $0.10 par value.

        2.     In respect of the issuance of such 33,485,009 shares, the Company
 received aggregate cash consideration (net of any sales commissions)
 of $479,759,373.

        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, 1996  through  September
30, 1997, 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:   December 10, 1997

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




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