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A074516
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a(n) = 1^n + 5^n + 6^n.
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1
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3, 12, 62, 342, 1922, 10902, 62282, 358062, 2070242, 12030822, 70231802, 411625182, 2420922962, 14281397142, 84467679722, 500702562702, 2973697798082, 17689598897862, 105374653934042, 628433226338622
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (12,-41,30).
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FORMULA
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G.f.: 1/(1-x)+1/(1-5*x)+1/(1-6*x). E.g.f.: e^x+e^(5*x)+e^(6*x). [Mohammad K. Azarian, Dec 26 2008]
a(n) = 11*a(n-1) - 30*a(n-2) + 20, n>1. [Gary Detlefs, Jun 21 2010]
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MAPLE
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A074516:=n->1^n+5^n+6^n: seq(A074516(n), n=0..30); # Wesley Ivan Hurt, Jan 27 2017
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MATHEMATICA
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Table[1^n + 5^n + 6^n, {n, 0, 20}]
LinearRecurrence[{12, -41, 30}, {3, 12, 62}, 20] (* Harvey P. Dale, Apr 06 2018 *)
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PROG
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(MAGMA) [5^n+6^n+1^n: n in [0..30]]; // Vincenzo Librandi, Mar 24 2013
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A158691 A038171 A258798 * A045740 A187820 A074529
Adjacent sequences: A074513 A074514 A074515 * A074517 A074518 A074519
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KEYWORD
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easy,nonn
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AUTHOR
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Robert G. Wilson v, Aug 23 2002
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STATUS
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approved
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