A022412 Expansion of 1/((1-x)(1-5x)(1-6x)(1-11x)).

1, 23, 356, 4690, 57015, 663621, 7538098, 84446336, 938561525, 10384529155, 114604142016, 1262952525198, 13906624731091, 153059279644385, 1684178151097070, 18529154259093436, 203840055167045073

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (23,-173,481,-330)

Formula

a(n) = 5^(n+3)/24 + 11^(n+3)/300 - 1/200 - 6^(n+3)/25. - R. J. Mathar, Mar 11 2011

a(n) = 17*a(n-1) - 66*a(n-2) + (5^(n+1) - 1)/4, n >= 2. - Vincenzo Librandi, Mar 12 2011

Mathematica

CoefficientList[Series[1/((1-x)(1-5x)(1-6x)(1-11x)), {x, 0, 30}], x] (* Harvey P. Dale, Apr 18 2021 *)

Crossrefs

Sequence in context: A025969 A020579 A021914 * A025946 A118115 A020572

Adjacent sequences: A022409 A022410 A022411 * A022413 A022414 A022415

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved