A016158 Expansion of g.f. 1/((1-4*x)*(1-11*x)).

1, 15, 181, 2055, 22861, 252495, 2781541, 30613335, 336812221, 3705196575, 40758210901, 448344514215, 4931806433581, 54249937878255, 596749585096261, 6564246509800695, 72206715902774941, 794273892110393535, 8737012881933805621, 96107141976149768775, 1057178562837159084301

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (15,-44).

Formula

From Vincenzo Librandi, Mar 18 2011: (Start)

a(n) = 15*a(n-1) - 44*a(n-2) for n >= 2.

a(n) = 11*a(n-1) + 4^n for n >= 1. (End)

a(n) = (11^(n+1) - 2^(2*n+2))/7. - R. J. Mathar, Mar 20 2011

From Elmo R. Oliveira, Mar 26 2025: (Start)

E.g.f.: exp(4*x)*(11*exp(7*x) - 4)/7.

a(n) = A139742(n+1)/7. (End)

Maple

A016158:=n->(11^(n+1)-2^(2*n+2))/7: seq(A016158(n), n=0..30); # Wesley Ivan Hurt, Apr 23 2017

Mathematica

Join[{a=1, b=15}, Table[c=15*b-44*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 01 2011 *)

Crossrefs

Cf. A139742.

Sequence in context: A373759 A138443 A235455 * A335509 A193701 A125450

Adjacent sequences: A016155 A016156 A016157 * A016159 A016160 A016161

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Elmo R. Oliveira, Mar 26 2025

Status

approved