A028218 Expansion of 1/((1-6x)(1-9x)(1-11x)(1-12x)).

1, 38, 913, 17738, 304549, 4824806, 72271081, 1039149506, 14486436877, 197162419454, 2632865400529, 34623882428954, 449653998040885, 5779288950415382, 73637791767193657, 931419802216938482

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (38, -531, 3222, -7128).

Formula

From Vincenzo Librandi, Mar 14 2011: (Start)

a(n) = 23*a(n-1) - 132*a(n-2) + 3^n*(3^(n+1) - 2^(n+1)), a(0)=1, a(1)=38.

a(n) = 38*a(n-1) - 531*a(n-2) + 3222*a(n-3) - 7128*a(n-4), a(0)=1, a(1)=38, a(2)=913, a(3)=17738. (End)

a(n) = (5*12^(n+3) - 9*11^(n+3) + 5*9^(n+3) - 6^(n+3))/90. - Yahia Kahloune, Jun 12 2013

Crossrefs

Sequence in context: A016075 A028226 A028224 * A028199 A285236 A208949

Adjacent sequences: A028215 A028216 A028217 * A028219 A028220 A028221

Keyword

nonn

Author

N. J. A. Sloane

Status

approved