A028215 Expansion of 1/((1-6x)(1-8x)(1-11x)(1-12x)).

1, 37, 867, 16457, 276563, 4296369, 63218779, 894460009, 12289771395, 165102658721, 2179224895211, 28361892985881, 364934200067347, 4651876568586193, 58839203762144763, 739393306409353673

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (37,-502,2952,-6336)

Formula

a(n) = 23*a(n-1) - 132*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n >= 2. - Vincenzo Librandi, Mar 14 2011

a(n) = 6*12^(n+1) + 8^(n+2)/3 - 11^(n+3)/15 - 3*6^(n+1)/5. - R. J. Mathar, Mar 14 2011

Mathematica

CoefficientList[Series[1/((1-6x)(1-8x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{37, -502, 2952, -6336}, {1, 37, 867, 16457}, 20] (* Harvey P. Dale, Jul 23 2021 *)

Crossrefs

Sequence in context: A028225 A028223 A028217 * A028198 A028164 A159090

Adjacent sequences: A028212 A028213 A028214 * A028216 A028217 A028218

Keyword

nonn

Author

N. J. A. Sloane

Status

approved