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A074511
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1^n + 4^n + 5^n.
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0
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3, 10, 42, 190, 882, 4150, 19722, 94510, 456162, 2215270, 10814202, 53022430, 260917842, 1287811990, 6371951082, 31591319950, 156882857922, 780119322310, 3883416742362, 19348364235070, 96466943268402, 481235204714230
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| G.f.: 1/(1-x)+1/(1-4*x)+1/(1-5*x). E.g.f.: e^x+e^(4*x)+e^(5*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]
a(n)=9*a(n-1)-20*a(n-2)+12 with a(0)=3, a(1)=10 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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MATHEMATICA
| Table[1^n + 4^n + 5^n, {n, 0, 21}]
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CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A149059 A129878 A094558 * A000249 A107594 A094195
Adjacent sequences: A074508 A074509 A074510 * A074512 A074513 A074514
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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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