A016163 Expansion of 1/((1-5x)(1-9x)).

1, 14, 151, 1484, 13981, 128954, 1176211, 10664024, 96366841, 869254694, 7833057871, 70546348964, 635161281301, 5717672234834, 51465153629131, 463216900240304, 4169104690053361, 37522705149933374, 337708161046665991

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (14, -45).

Formula

a(n) = ((7+sqrt4)^n - (7-sqrt4)^n)/4. Offset 1. a(3)=151. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008

a(n) = 14*a(n-1) - 45*a(n-2). - Philippe Deléham, Jan 01 2009

a(0)=1, a(n) = 9*a(n-1) + 5^n. - Vincenzo Librandi, Feb 09 2011

Mathematica

Join[{a=1, b=14}, Table[c=14*b-45*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 01 2011 *)

Crossrefs

Sequence in context: A357484 A037960 A222677 * A153884 A154239 A016215

Adjacent sequences: A016160 A016161 A016162 * A016164 A016165 A016166

Keyword

nonn

Author

N. J. A. Sloane

Status

approved