A074511 a(n) = 1^n + 4^n + 5^n.

3, 10, 42, 190, 882, 4150, 19722, 94510, 456162, 2215270, 10814202, 53022430, 260917842, 1287811990, 6371951082, 31591319950, 156882857922, 780119322310, 3883416742362, 19348364235070, 96466943268402, 481235204714230, 2401777977060042, 11991297699255790

Offset

0,1

Links

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (10,-29,20).

Formula

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

G.f.: 1/(1-x) + 1/(1-4*x) + 1/(1-5*x).

E.g.f.: e^x + e^(4*x) + e^(5*x). (End)

a(n) = 9*a(n-1) - 20*a(n-2) + 12 with a(0)=3, a(1)=10. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 4^n + 5^n, {n, 0, 21}]

Crossrefs

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

Sequence in context: A149059 A129878 A094558 * A000249 A107594 A094195

Adjacent sequences: A074508 A074509 A074510 * A074512 A074513 A074514

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved