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A074624 8^n + 9^n. 40
2, 17, 145, 1241, 10657, 91817, 793585, 6880121, 59823937, 521638217, 4560526225, 39970994201, 351149013217, 3091621642217, 27274838966065, 241075504183481, 2134495165562497, 18928981513351817, 168109033806481105 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (17,-72).

FORMULA

G.f.: 1/(1-8*x)+1/(1-9*x). E.g.f.: e^(8*x)+e^(9*x). - Mohammad K. Azarian, Jan 11 2009

a(n)=17*a(n-1)-72*a(n-2) with a(0)=2, a(1)=17 - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[8^n + 9^n, {n, 0, 20}]

PROG

(PARI) a(n)=8^n+9^n \\ Charles R Greathouse IV, Apr 08 2016

CROSSREFS

Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600-A074623.

Sequence in context: A163066 A110815 A273340 * A245807 A176934 A126037

Adjacent sequences:  A074621 A074622 A074623 * A074625 A074626 A074627

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 26 2002

STATUS

approved

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Last modified July 29 06:14 EDT 2016. Contains 275161 sequences.