A074518 - OEIS

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A074518

a(n) = 1^n + 5^n + 8^n.

3, 14, 90, 638, 4722, 35894, 277770, 2175278, 17167842, 136170854, 1083507450, 8638762718, 68963617362, 550976517014, 4404150026730, 35214889666958, 281627564601282, 2252562753138374, 18018213206747610, 144134261562183998

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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 (14,-53,40).

FORMULA

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

G.f.: 1/(1-x) + 1/(1-5*x) + 1/(1-8*x).

E.g.f.: e^x + e^(5*x) + e^(8*x). (End)

a(n) = 13*a(n-1) - 40*a(n-2) + 28 with a(0)=3, a(1)=14. - Vincenzo Librandi, Jul 21 2010

a(0)=3, a(1)=14, a(2)=90, a(n) = 14*a(n-1) - 53*a(n-2) + 40*a(n-3). - Harvey P. Dale, Sep 24 2013