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A074521

a(n) = 1^n + 6^n + 8^n.

3, 15, 101, 729, 5393, 40545, 308801, 2377089, 18456833, 144295425, 1134208001, 8952731649, 70896259073, 562816507905, 4476410675201, 35654557073409, 284296086618113, 2268726473129985, 18115958466150401, 144724547815866369

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (15,-62,48).

FORMULA

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-6*x) + 1/(1-8*x).

E.g.f.: e^x + e^(6*x) + e^(8*x). (End)

a(n) = 14*a(n-1) - 48*a(n-2) + 35 with a(0)=3, a(1)=15. - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[1^n + 6^n + 8^n, {n, 0, 20}]

LinearRecurrence[{15, -62, 48}, {3, 15, 101}, 20] (* Harvey P. Dale, Aug 29 2021 *)

CROSSREFS

Cf. A001550, A001576, A034513, A001579, A074501..A074580.

Sequence in context: A303651 A350954 A196962 * A074536 A152093 A109777

Adjacent sequences: A074518 A074519 A074520 * A074522 A074523 A074524

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved