A028160 Expansion of 1/((1-4x)(1-8x)(1-11x)(1-12x)).

1, 35, 785, 14395, 235401, 3578595, 51754945, 722167115, 9811679801, 130610749555, 1711051941105, 22130751379035, 283285847668201, 3595414758854915, 45309603386047265, 567596497380674155

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (35,-440,2320,-4224).

Formula

a(n) = 23*a(n-1) - 132*a(n-2) + 2^(3n+1) - 4^n, n >= 2. - Vincenzo Librandi, Mar 16 2011

a(n) = -11^(n+3)/21 + 4*8^(n+1)/3 + 54*12^n - 2*4^n/7. - R. J. Mathar, Mar 17 2011

Mathematica

CoefficientList[Series[1/((1 - 4 x) (1 - 8 x) (1 - 11 x) (1 - 12 x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 25 2023 *)

Crossrefs

Sequence in context: A004348 A028189 A028162 * A028107 A066553 A137309

Adjacent sequences: A028157 A028158 A028159 * A028161 A028162 A028163

Keyword

nonn

Author

N. J. A. Sloane

Status

approved