A155665 11^n+8^n-1.

1, 18, 184, 1842, 18736, 193818, 2033704, 21584322, 231136096, 2492165418, 27011166424, 293901605202, 3207147853456, 35072467957818, 384147880094344, 4212432541504482, 46231204840282816, 507698828312979018

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (20,-107,88).

Formula

G.f.: 1/(1-11*x)+1/(1-8*x)-1/(1-x). E.g.f.: e^(11*x)+e^(8*x)-e^x.

a(n)=19*a(n-1)-88*a(n-2)-70 with a(0)=1, a(1)=18 - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=18, a(2)=184, a(n)=20*a(n-1)-107*a(n-2)+88*a(n-3) [From Harvey P. Dale, May 18 2011]

Mathematica

Table[11^n+8^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{20, -107, 88}, {1, 18, 184}, 20] (* Harvey P. Dale, May 18 2011 *)

Prog

(PARI) a(n)=11^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664.

Sequence in context: A026091 A178260 A296778 * A036396 A036394 A246059

Adjacent sequences: A155662 A155663 A155664 * A155666 A155667 A155668

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Status

approved