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A074523 a(n) = 1^n + 7^n + 8^n. 0
3, 16, 114, 856, 6498, 49576, 379794, 2920696, 22542018, 174571336, 1356217074, 10567261336, 82560763938, 646644824296, 5076269583954, 39931933598776, 314707907280258, 2484430327672456, 19642812107392434, 155514083261229016 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (16,-71,56).

FORMULA

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

G.f.: 1/(1-x) + 1/(1-7*x) + 1/(1-8*x).

E.g.f.: e^x + e^(7*x) + e^(8*x). (End)

a(n) = 15*a(n-1) - 56*a(n-2) + 42 with a(0)=3, a(1)=16. - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[1^n + 7^n + 8^n, {n, 0, 20}]

CROSSREFS

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

Sequence in context: A005419 A124537 A305133 * A042437 A159606 A211210

Adjacent sequences:  A074520 A074521 A074522 * A074524 A074525 A074526

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified November 16 06:50 EST 2018. Contains 317258 sequences. (Running on oeis4.)