A074565 a(n) = 4^n + 6^n + 7^n.

3, 17, 101, 623, 3953, 25607, 168401, 1119863, 7509953, 50693447, 343990001, 2344318103, 16034846753, 110016813287, 756855672401, 5218820236343, 36058335444353, 249574353301127, 1730042274055601, 12008529803290583

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (17,-94,168).

Formula

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

G.f.: 1/(1-4*x) + 1/(1-6*x) + 1/(1-7*x).

E.g.f.: exp(4*x) + exp(6*x) + exp(7*x). (End)

a(n) = 17*a(n-1) - 94*a(n-2) + 168*a(n-3); a(0)=3, a(1)=17, a(2)=101. - Harvey P. Dale, Jun 22 2013

Mathematica

Table[4^n + 6^n + 7^n, {n, 0, 20}]
LinearRecurrence[{17, -94, 168}, {3, 17, 101}, 30] (* Harvey P. Dale, Jun 22 2013 *)

Prog

(Magma) [4^n + 6^n + 7^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011

Crossrefs

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

Sequence in context: A356392 A330626 A161940 * A339565 A241768 A370286

Adjacent sequences: A074562 A074563 A074564 * A074566 A074567 A074568

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved