A016263 Expansion of 1/((1-x)(1-9x)(1-12x)).

1, 22, 355, 5080, 68341, 886522, 11236135, 140214460, 1731001081, 21207861022, 258416964715, 3136307268640, 37953420452221, 458300644483522, 5525344125314095, 66535757027375620, 800513732040965761

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22,-129,108).

Formula

a(n) = (32*12^(n+1) - 33*9^(n+1) + 1)/88. - Bruno Berselli, Mar 21 2011

a(n) = 21*a(n-1) - 108*a(n-2) + 1, n >= 2. - Vincenzo Librandi, Mar 21 2011

Mathematica

CoefficientList[Series[1/((1-x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{22, -129, 108}, {1, 22, 355}, 30] (* Harvey P. Dale, Jul 17 2016 *)

Crossrefs

Sequence in context: A054940 A016265 A208458 * A001718 A199671 A253878

Adjacent sequences: A016260 A016261 A016262 * A016264 A016265 A016266

Keyword

nonn

Author

N. J. A. Sloane

Status

approved