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A074549
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3^n + 4^n + 7^n.
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1
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3, 14, 74, 434, 2738, 18074, 122474, 842114, 5836898, 40635434, 283582874, 1981698194, 13858595858, 96957713594, 678496291274, 4748649600674, 33237268583618, 232647822996554, 1628482704807674, 11399171225541554
(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/(1-7*x). E.g.f.: exp(3*x)+exp(4*x)+exp(7*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 28 2008]
a(n) = +14*a(n-1) -61*a(n-2) +84*a(n-3)
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MATHEMATICA
| Table[3^n + 4^n + 7^n, {n, 0, 20}]
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PROG
| (MAGMA) [3^n + 4^n + 7^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: A118650 A180187 A080238 * A126122 A026004 A200718
Adjacent sequences: A074546 A074547 A074548 * A074550 A074551 A074552
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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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