A028090 Expansion of 1/((1-3x)(1-7x)(1-8x)(1-10x)).

1, 28, 503, 7394, 96993, 1183584, 13750411, 154260238, 1686734885, 18091012940, 191193729519, 1997666285082, 20686716623977, 212717150997496, 2175158274827027, 22143785088967526, 224633627211465069

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (28,-281,1178,-1680).

Formula

a(n)=(10^(n+4)-42*8^(n+3)+5*7^(n+4)-3^(n+4))/420. - Yahia Kahloune, May 31 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-7x)(1-8x)(1-10x)), {x, 0, 20}], x]
LinearRecurrence[{28, -281, 1178, -1680}, {1, 28, 503, 7394}, 20] (* Harvey P. Dale, Sep 07 2021 *)

Crossrefs

Sequence in context: A028145 A028167 A028136 * A028124 A028133 A042516

Adjacent sequences: A028087 A028088 A028089 * A028091 A028092 A028093

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved