A074612 a(n) = 4^n + 6^n.

2, 10, 52, 280, 1552, 8800, 50752, 296320, 1745152, 10339840, 61514752, 366991360, 2193559552, 13127802880, 78632599552, 471258726400, 2825404874752, 16943839313920, 101628676145152, 609634617917440

Offset: 0

Author

Robert G. Wilson v, Aug 26 2002

Keywords

• easy
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-24).

Crossrefs

Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394.

Cf. A062395, A062396, A063376, A063481, A074600 - A074624.

Programs

Magma

[4^n+6^n: n in [0..30]]; // G. C. Greubel, Jan 13 2024

Maple

A074612:=n->4^n+6^n: seq(A074612(n), n=0..30); # Wesley Ivan Hurt, Apr 27 2017

Mathematica

Table[4^n + 6^n, {n, 0, 25}]
LinearRecurrence[{10,-24}, {2,10}, 30] (* G. C. Greubel, Jan 13 2024 *)

SageMath

[4^n+6^n for n in range(31)] # G. C. Greubel, Jan 13 2024

Formula

From Mohammad K. Azarian, Jan 11 2009: (Start)

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

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

a(n) = 10*a(n-1) - 24*a(n-2) with a(0)=2, a(1)=10. - Vincenzo Librandi, Jul 21 2010