A074603 a(n) = 2^n + 8^n.

2, 10, 68, 520, 4112, 32800, 262208, 2097280, 16777472, 134218240, 1073742848, 8589936640, 68719480832, 549755822080, 4398046527488, 35184372121600, 281474976776192, 2251799813816320, 18014398509744128, 144115188076380160

Offset: 0

Author

Robert G. Wilson v, Aug 25 2002

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (10,-16).

Crossrefs

Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.

Programs

Magma

[2^n + 8^n: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011

Mathematica

Table[2^n + 8^n, {n, 0, 25}]
LinearRecurrence[{10,-16},{2,10},30] (* Harvey P. Dale, Jan 23 2015 *)

Formula

a(n) = 8*a(n-1) - 2^n = 10*a(n-1) - 16*a(n-2).

From Mohammad K. Azarian, Jan 02 2009: (Start)

G.f.: 1/(1-2*x) + 1/(1-8*x).

E.g.f.: e^(2*x) + e^(8*x). (End)