A016243 Expansion of 1/((1-x)*(1-6*x)*(1-8*x)).

1, 15, 163, 1563, 14059, 121803, 1030411, 8579211, 70649227, 577287051, 4690855819, 37962203019, 306309762955, 2466150936459, 19823244488587, 159150177890187, 1276586755010443, 10233006031417227, 81985920199339915

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (15,-62,48).

Formula

a(n) = 14*a(n-1) - 48*a(n-2) + 1 with a(0)=1, a(1)=15. - Vincenzo Librandi, Feb 10 2011

a(n) = (5*8^(n+2) - 7*6^(n+2) + 2)/70. - Yahia Kahloune, May 19 2013

E.g.f.: (1/35)*(exp(x) - 126*exp(6*x) + 160*exp(8*x)). - G. C. Greubel, Jan 30 2022

Mathematica

Table[(5*8^(n + 2) - 7*6^(n + 2) + 2)/70, {n, 0, 20}] (* Wesley Ivan Hurt, Jun 06 2014 *)

Prog

(Magma) [(5*8^(n+2) - 7*6^(n+2) + 2)/70 : n in [0..50]]; // Wesley Ivan Hurt, Jun 06 2014
(Sage) [(20*8^(n+1) -21*6^(n+1) +1)/35 for n in (0..30)] # G. C. Greubel, Jan 30 2022

Crossrefs

Cf. A003464, A016244.

Sequence in context: A014920 A081034 A279157 * A164599 A016291 A229406

Adjacent sequences: A016240 A016241 A016242 * A016244 A016245 A016246

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved