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A074501 1^n + 2^n + 5^n. 99
3, 8, 30, 134, 642, 3158, 15690, 78254, 390882, 1953638, 9766650, 48830174, 244144722, 1220711318, 6103532010, 30517610894, 152587956162, 762939584198, 3814697527770, 19073486852414, 95367432689202, 476837160300278 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (8,-17,10).

FORMULA

G.f.: 1/(1-x)+1/(1-2*x)+1/(1-5*x). E.g.f.: e^x+e^(2*x)+e^(5*x). [From Mohammad K. Azarian, Dec 26 2008]

a(n)=7*a(n-1)-10*a(n-2)+4 with a(0)=3, a(1)=8 [From Vincenzo Librandi, Jul 21 2010]

MATHEMATICA

Table[1^n + 2^n + 5^n, {n, 0, 24}]

PROG

(PARI) a(n)=1+2^n+5^n \\ Charles R Greathouse IV, Jun 10 2011

CROSSREFS

Equals A074600(n) + 1.

Cf. A001550, A001576, A034513, A001579, A074502 - A074580.

Sequence in context: A162560 A096161 A161779 * A009123 A066764 A059171

Adjacent sequences:  A074498 A074499 A074500 * A074502 A074503 A074504

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified August 21 13:36 EDT 2017. Contains 290890 sequences.