AT HOME CORP
424B3, 2000-01-07
COMPUTER PROGRAMMING, DATA PROCESSING, ETC.
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<PAGE>   1

                                                FILED PURSUANT TO RULE 424(b)(3)
                                                      REGISTRATION NO. 333-78419

PROSPECTUS SUPPLEMENT #14
(TO PROSPECTUS DATED JULY 2, 1999 AND
SUPPLEMENT DATED JULY 15, 1999)

                                EXCITE@HOME LOGO

                              AT HOME CORPORATION
                   $437,000,000 PRINCIPAL AMOUNT AT MATURITY
                  CONVERTIBLE SUBORDINATED DEBENTURES DUE 2018

                        SHARES OF SERIES A COMMON STOCK
                   ISSUABLE UPON CONVERSION OF THE DEBENTURES
                           -------------------------

This prospectus supplement relates to the resale by the holders of convertible
subordinated debentures due 2018 of Excite@Home and the shares of Series A
common stock of Excite@Home issuable upon the conversion of the debentures.

You should read this prospectus supplement in conjunction with the prospectus
dated July 2, 1999 and prospectus supplement dated July 15, 1999, each of which
is to be delivered with this prospectus supplement. All capitalized terms used
but not defined in this prospectus supplement shall have the meanings given to
them in the prospectus.

The information in the table appearing under the heading "Selling
Securityholders" in the prospectus is superseded in part by the information
appearing in the table below:

<TABLE>
<CAPTION>
                                                   PRINCIPAL AMOUNT
                                                    OF DEBENTURES      PERCENTAGE OF   SHARES OF SERIES A
                                                  BENEFICIALLY OWNED    DEBENTURES        COMMON STOCK
                      NAME                         THAT MAY BE SOLD     OUTSTANDING     THAT MAY BE SOLD
                      ----                        ------------------   -------------   ------------------
<S>                                               <C>                  <C>             <C>
WM Growth & Income Fund.........................      $6,000,000            1.4%             78,600
WM Bond & Stock Fund............................      $2,770,000              *              36,287
WM Variable Growth & Income Fund................      $  830,000              *              10,873
Composite Deferred Growth & Income Fund.........      $  370,000              *               4,847
WM Variable Bond & Stock Fund...................      $   30,000              *                 393
</TABLE>

- ---------------
* Less than 1%

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

INVESTING IN OUR CONVERTIBLE SUBORDINATED DEBENTURES OR OUR SERIES A COMMON
STOCK INVOLVES A HIGH DEGREE OF RISK. PLEASE CAREFULLY CONSIDER THE "RISK
FACTORS" BEGINNING ON PAGE 6 OF THE PROSPECTUS.

NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR PASSED UPON THE
ADEQUACY OR ACCURACY OF THIS PROSPECTUS OR THIS PROSPECTUS SUPPLEMENT. ANY
REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.

           THE DATE OF THIS PROSPECTUS SUPPLEMENT IS JANUARY 7, 2000.


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