A016227 - OEIS

A016227

Expansion of g.f. 1/((1-x)*(1-4*x)*(1-12*x)).

1, 17, 225, 2785, 33761, 406497, 4883425, 58622945, 703562721, 8443102177, 101318624225, 1215829083105, 14589971366881, 175079745881057, 2100957308486625, 25211489133495265, 302537875328566241, 3630454526849287137, 43565454413817414625, 522785453332312851425, 6273425441453769720801

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (17,-64,48).

FORMULA

a(n) = (1/33) - (2/3)*4^(n-1) + (18/11)*12^(n-1). - Antonio Alberto Olivares, Feb 07 2010

a(0)=1, a(1)=17, a(n) = 16*a(n-1) - 48*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

E.g.f.: exp(x)*(1 - 22*exp(3*x) + 54*exp(11*x))/33. - Stefano Spezia, Apr 03 2025

MATHEMATICA

CoefficientList[Series[1/((1 - x)*(1 - 4*x)*(1 - 12*x)), {x, 0, 20}],