A016166 Expansion of 1/((1-5x)(1-12x)).

1, 17, 229, 2873, 35101, 424337, 5107669, 61370153, 736832461, 8843942657, 106137077509, 1273693758233, 15284569239421, 183416051576177, 2200998722429749, 26412015186735113, 316944334828711981, 3803332780883996897, 45639997185305228389, 547679985297149068793

Offset

0,2

Links

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

Daniele A. Gewurz and Francesca Merola, Sequences realized as Parker vectors of oligomorphic permutation groups, J. Integer Seqs., Vol. 6, 2003.

Index entries for linear recurrences with constant coefficients, signature (17,-60).

Formula

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

a(n) = (12^(n+1) - 5^(n+1))/7. - Bruno Berselli, Feb 09 2011

a(n) = 12*a(n-1) + 5^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

a(n) = 17*a(n-1) - 60*a(n-2), n > 1. - Wesley Ivan Hurt, Aug 28 2015

Maple

A016166:=n->(12^(n+1)-5^(n+1))/7: seq(A016166(n), n=0..30); # Wesley Ivan Hurt, Aug 28 2015

Mathematica

Join[{a=1, b=17}, Table[c=17*b-60*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)
Table[(12^(n + 1) - 5^(n + 1))/7, {n, 0, 20}] (* Wesley Ivan Hurt, Aug 28 2015 *)

Prog

(Magma) [(12^(n+1)-5^(n+1))/7 : n in [0..20]]; // Wesley Ivan Hurt, Aug 28 2015

Crossrefs

Sequence in context: A142547 A243229 A329015 * A358712 A206354 A119273

Adjacent sequences: A016163 A016164 A016165 * A016167 A016168 A016169

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved