A074547 a(n) = 3^n + 4^n + 5^n.

3, 12, 50, 216, 962, 4392, 20450, 96696, 462722, 2234952, 10873250, 53199576, 261449282, 1289406312, 6376734050, 31605668856, 156925904642, 780248462472, 3883804162850, 19349526496536, 96470430052802, 481245665067432

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (12,-47,60).

Formula

From Mohammad K. Azarian, Dec 28 2008: (Start)

G.f.: 1/(1-3*x) + 1/(1-4*x) + 1/(1-5*x).

E.g.f.: exp(3*x) + exp(4*x) + exp(5*x). (End)

a(n) = 12*a(n-1) - 47*a(n-2) + 60*a(n-3).

Mathematica

Table[3^n + 4^n + 5^n, {n, 0, 21}]

Prog

(Magma) [3^n + 4^n + 5^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

Crossrefs

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

Sequence in context: A108080 A113441 A119976 * A151178 A151179 A191242

Adjacent sequences: A074544 A074545 A074546 * A074548 A074549 A074550

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved