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A074547
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3^n + 4^n + 5^n.
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1
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3, 12, 50, 216, 962, 4392, 20450, 96696, 462722, 2234952, 10873250, 53199576, 261449282, 1289406312, 6376734050, 31605668856, 156925904642, 780248462472, 3883804162850, 19349526496536, 96470430052802, 481245665067432
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| G.f.: 1/(1-3*x)+1/(1-4*x)+1/(1-5*x). E.g.f.: exp(3*x)+exp(4*x)+exp(5*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 28 2008]
a(n) = +12*a(n-1) -47*a(n-2) +60*a(n-3)
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MATHEMATICA
| Table[3^n + 4^n + 5^n, {n, 0, 21}]
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PROG
| (MAGMA) [3^n + 4^n + 5^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011
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CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A108080 A113441 A119976 * A151178 A151179 A191242
Adjacent sequences: A074544 A074545 A074546 * A074548 A074549 A074550
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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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