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                                     FORM 3
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                     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


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1. Name and Address of Reporting Person*

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

P.O. Box 391
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                                    (Street)

Ashland                          Kentucky                         41114
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   (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)



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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



==================================================================================================================================== 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) - ------------------------------------------------------------------------------------------------------------------------------------ Common Stock 4,000 D - ------------------------------------------------------------------------------------------------------------------------------------ Common Stock 306 D(1) - ------------------------------------------------------------------------------------------------------------------------------------ ====================================================================================================================================
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 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) - ------------------------------------------------------------------------------------------------------------------------------------ No securities beneficially owned - ------------------------------------------------------------------------------------------------------------------------------------ ====================================================================================================================================
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).