A016216 Expansion of 1/((1-x)(1-3x)(1-11x)).

1, 15, 178, 1998, 22099, 243453, 2679076, 29473116, 324214117, 3566384811, 39230321494, 431533802154, 4746872620855, 52215601220889, 574371620604232, 6318087848169912, 69498966394439113, 764488630532540487, 8409374936439076090, 92503124302573229190

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (15,-47,33).

Formula

a(0)=1, a(1)=15, a(n)=14*a(n-1)-33*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011

a(n) = (1/20)-(9/16)*(3)^n+(121/80)*(11)^n. Antonio Alberto Olivares, May 12, 2012

Mathematica

CoefficientList[Series[1/((1-x)(1-3x)(1-11x)), {x, 0, 20}], x] (* Harvey P. Dale, May 14 2019 *)

Crossrefs

Sequence in context: A155000 A009146 A012800 * A244604 A001717 A293476

Adjacent sequences: A016213 A016214 A016215 * A016217 A016218 A016219

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved