A074524 a(n) = 1^n + 7^n + 9^n.

3, 17, 131, 1073, 8963, 75857, 649091, 5606513, 48811523, 427774097, 3769259651, 33358386353, 296270823683, 2638754838737, 23555015527811, 210638693604593, 1886253119421443, 16909812213653777, 151723048894909571

Offset

0,1

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (17,-79,63).

Formula

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

G.f.: 1/(1-x) + 1/(1-7*x) + 1/(1-9*x).

E.g.f.: e^x + e^(7*x) + e^(9*x). (End)

a(n) = 16*a(n-1) - 63*a(n-2) + 48 with a(0)=3, a(1)=17. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 7^n + 9^n, {n, 0, 20}]

Crossrefs

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

Sequence in context: A355598 A006759 A073513 * A212280 A360581 A307680

Adjacent sequences: A074521 A074522 A074523 * A074525 A074526 A074527

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved