A074562 a(n) = 4^n + 5^n + 7^n.

3, 16, 90, 532, 3282, 20956, 137370, 918052, 6220962, 42568876, 293289450, 2030349172, 14102205042, 98176822396, 684595023930, 4779152829892, 33389813427522, 233410633309516, 1632297014652810, 11418243549608212

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (16,-83,140).

Formula

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-7*x).

E.g.f.: exp(4*x) + exp(5*x) + exp(7*x). (End)

Mathematica

Table[4^n + 5^n + 7^n, {n, 0, 20}]

Prog

(Magma) [4^n + 5^n + 7^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011

Crossrefs

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

Sequence in context: A026111 A026330 A146963 * A130744 A344455 A009124

Adjacent sequences: A074559 A074560 A074561 * A074563 A074564 A074565

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved