CHELLGREN PAUL W
3/A, 1998-07-08
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                           ---------------------------
                                     FORM 3
                           ---------------------------

                     UNITED STATES SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                     
            INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES

    Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
       Section 17(a) of the Public Utility Holding Company Act of 1935 or
               Section 30(f) of the Investment Company Act of 1940


================================================================================
1. Name and Address of Reporting Person*

  Chellgren               Paul                     W.
- --------------------------------------------------------------------------------
   (Last)               (First)                 (Middle)

P.O. Box 391
- --------------------------------------------------------------------------------
                                    (Street)

Ashland                          Kentucky                         41114
- --------------------------------------------------------------------------------
   (City)                           (State)                       (Zip)


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2. Date of Event Requiring Statement (Month/Day/Year)

                                    07/01/97
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3. IRS or Social Security Number of Reporting Person (Voluntary)


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4. Issuer Name and Ticker or Trading Symbol

                             Arch Coal, Inc. (ACI)
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5. Relationship of Reporting Person to Issuer
   (Check all applicable)

   [ X ]   Director                             [   ]   10% Owner
   [   ]   Officer (give title below)           [   ]   Other (specify below)



      --------------------------------------------------------------------

================================================================================
6. If Amendment, Date of Original (Month/Year)

                                    06/30/97
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7. Individual or Joint/Group Filing  (Check applicable line) 

   [ X ] Form Filed by One Reporting Person

   [   ] Form Filed by More than One Reporting Person

<PAGE>

<TABLE>
<CAPTION>

====================================================================================================================================
             Table I -- Non-Derivative Securities Beneficially Owned
====================================================================================================================================
                                                                 3. Ownership Form:
                                      2. Amount of Securities       Direct (D) or  
1. Title of Security                     Beneficially Owned         Indirect (I)       4. Nature of Indirect Beneficial Ownership
   (Instr. 4)                            (Instr. 4)                 (Instr. 5)            (Instr.5)                              
- ------------------------------------------------------------------------------------------------------------------------------------
   <S>                                   <C>                         <C>                  <C>
   Common Stock                          4,000                       D
- ------------------------------------------------------------------------------------------------------------------------------------
   Common Stock                            306                       D(1)
- ------------------------------------------------------------------------------------------------------------------------------------

====================================================================================================================================
</TABLE>

Reminder:  Report on a separate line for each class of  securities  beneficially
owned directly or indirectly.

(1) Total shares held in safekeeping by the bank administrator of the Arch Coal,
Inc.  Dividend  Reinvestment  Plan at  07/01/97.  Holdings  reflect  rounding of
fractional shares.

<TABLE>
<CAPTION>
====================================================================================================================================
              Table II -- Derivative Securities Beneficially Owned
         (e.g., puts, calls, warrants, options, convertible securities)
====================================================================================================================================
                                                                                                        5. Owner-
                                                    3. Title and Amount of Securities                      ship
                                                       Underlying Derivative Security                      Form of
                         2. Date Exercisable           (Instr. 4)                                          Derivative
                            and Expiration Date     ---------------------------------    4. Conver-        Security:
                            (Month/Day/Year)                               Amount           sion or        Direct      6. Nature of
                         ----------------------                            or               Exercise       (D) or         Indirect
                         Date       Expira-                                Number           Price of       Indirect       Beneficial
1. Title of Derivative   Exer-      tion                                   of               Derivative     (I)            Ownership
   Security (Instr. 4)   cisable    Date            Title                  Shares           Security       (Instr.5)      (Instr. 5)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                      <C>        <C>             <C>                    <C>           <C>            <C>            <C>

No securities 
beneficially owned
- ------------------------------------------------------------------------------------------------------------------------------------


====================================================================================================================================
</TABLE>
Explanation of Responses:




    /s/ Miriam Rogers Singer                             July 8, 1998
    ----------------------------------------            --------------
    **Signature of Reporting Person                      Date
     (on behalf of Paul W. Chellgren)

**   Intentional misstatements or omissions of facts constitute Federal Criminal
     Violations.

     See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).



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