A028090 - OEIS

%I #15 Sep 07 2021 16:17:35

%S 1,28,503,7394,96993,1183584,13750411,154260238,1686734885,

%T 18091012940,191193729519,1997666285082,20686716623977,

%U 212717150997496,2175158274827027,22143785088967526,224633627211465069

%N Expansion of 1/((1-3x)(1-7x)(1-8x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (28,-281,1178,-1680).

%F a(n)=(10^(n+4)-42*8^(n+3)+5*7^(n+4)-3^(n+4))/420. - _Yahia Kahloune_, May 31 2013

%t CoefficientList[Series[1/((1-3x)(1-7x)(1-8x)(1-10x)),{x,0,20}],x]

%t LinearRecurrence[{28,-281,1178,-1680},{1,28,503,7394},20] (* _Harvey P. Dale_, Sep 07 2021 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.