A016318 Expansion of 1/((1-2x)(1-8x)(1-11x)).

1, 21, 315, 4145, 51051, 605241, 7007155, 79874865, 900993051, 10089880361, 112420339395, 1248076978785, 13820472734251, 152758207825881, 1686204348094035, 18595160325141905, 204922063545486651

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (21,-126,176).

Formula

From Vincenzo Librandi, Oct 09 2011: (Start)

a(n) = (11^(n+2) + 2^(n+1) - 96*8^n)/27.

a(n) = 19*a(n-1) - 88*a(n-2) + 2^n.

a(n) = 21*a(n-1) - 126*a(n-2) + 176*a(n-3), n >= 3. (End)

Prog

(Magma) [(11^(n+2)+2^(n+1)-96*8^n)/27 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-8*x)*(1-11*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A016321 A019041 A021214 * A017954 A055434 A016315

Adjacent sequences: A016315 A016316 A016317 * A016319 A016320 A016321

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved