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A074618 a(n) = 5^n + 9^n. 0
2, 14, 106, 854, 7186, 62174, 547066, 4861094, 43437346, 389373614, 3496550026, 31429887734, 282673677106, 2543086531454, 22882895970586, 205921649672774, 1853172776742466, 16677944639119694, 150098449994264746 (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 (14,-45).

FORMULA

From Mohammad K. Azarian, Jan 11 2009: (Start)

G.f.: 1/(1-5*x) + 1/(1-9*x).

E.g.f.: e^(5*x) + e^(9*x). (End)

a(n) = 14*a(n-1) - 45*a(n-2) with a(0)=2, a(1)=14. - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[5^n + 9^n, {n, 0, 20}]

CROSSREFS

Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600..A074624.

Sequence in context: A121122 A026293 A051708 * A108436 A088754 A103945

Adjacent sequences:  A074615 A074616 A074617 * A074619 A074620 A074621

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 26 2002

STATUS

approved

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Last modified July 20 14:01 EDT 2019. Contains 325181 sequences. (Running on oeis4.)