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A074501
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1^n + 2^n + 5^n.
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99
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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; internal format)
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OFFSET
| 0,1
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (8,-17,10).
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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 (azarian(AT)evansville.edu), Dec 26 2008]
a(n)=7*a(n-1)-10*a(n-2)+4 with a(0)=3, a(1)=8 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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MATHEMATICA
| Table[1^n + 2^n + 5^n, {n, 0, 24}]
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PROG
| (PARI) a(n)=1+2^n+5^n \\ Charles R Greathouse IV, Jun 10 2011
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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
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002
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