A016302 Expansion of 1/((1-2*x)*(1-5*x)*(1-12*x)).

1, 19, 267, 3407, 41915, 508167, 6124003, 73618159, 884068779, 10612080215, 127361237939, 1528416234111, 18341401707643, 220098854991463, 2641196432412675, 31694408051560463, 380333150931832907

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (19,-94,120).

Formula

G.f.: 1/((1-2*x)*(1-5*x)*(1-12*x)).

From Vincenzo Librandi, Sep 01 2011: (Start)

a(n) = (14*2^n - 125*5^n + 216*12^n)/105.

a(n) = 19*a(n-1)- 94*a(n-2) + 120*a(n-3) for n > 2.

a(n) = 17*a(n-1) - 60*a(n-2) + 2^n for n > 1. (End)

Prog

(Magma) [(14*2^n-125*5^n+216*12^n)/105: n in [0..20]]; // Vincenzo Librandi, Sep 01 2011

Crossrefs

Sequence in context: A017161 A036736 A016254 * A253217 A245237 A141942

Adjacent sequences: A016299 A016300 A016301 * A016303 A016304 A016305

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved