A028201 Expansion of 1/((1-6x)(1-7x)(1-8x)(1-10x)).

1, 31, 605, 9515, 131901, 1684011, 20303725, 234831355, 2632942301, 28828462091, 309891463245, 3283433875995, 34394321024701, 357022927273771, 3679144385477165, 37693176577349435, 384361331408659101

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-356,1796,-3360).

Formula

a(n) = 18*a(n-1) - 80*a(n-2) + 7^(n+1) - 6^(n+1); a(0)=1, a(1)=31. - Vincenzo Librandi, Mar 11 2011

a(n) = (10^(n+3) - 6*8^(n+3) + 8*7^(n+3) - 3*6^(n+3))/24. - Yahia Kahloune, Jun 04 2013

a(n) = 31*a(n-1)-356*a(n-2)+1796*a(n-3)-3360*a(n-4). - Wesley Ivan Hurt, May 22 2021

Mathematica

CoefficientList[Series[1/((1-6x)(1-7x)(1-8x)(1-10x)), {x, 0, 30}], x] (* Harvey P. Dale, Apr 03 2021 *)

Crossrefs

Sequence in context: A003533 A360761 A005462 * A028184 A215794 A028182

Adjacent sequences: A028198 A028199 A028200 * A028202 A028203 A028204

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved