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A074552
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3^n + 5^n + 7^n.
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1
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3, 15, 83, 495, 3107, 20175, 134003, 903855, 6161987, 42326415, 292299923, 2026332015, 14085959267, 98111307855, 684331371443, 4778093436975, 33385561506947, 233393582580495, 1632228682596563, 11417969833962735
(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/(1-5*x)+1/(1-7*x). E.g.f.: exp(3*x)+exp(5*x)+exp(7*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 30 2008]
a(n) = +15*a(n-1) -71*a(n-2) +105*a(n-3)
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MATHEMATICA
| Table[3^n + 5^n + 7^n, {n, 0, 20}]
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PROG
| (MAGMA) [3^n + 5^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: A052451 A026019 A118356 * A193658 A195885 A115910
Adjacent sequences: A074549 A074550 A074551 * A074553 A074554 A074555
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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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