A074615 a(n) = 5^n + 6^n.

2, 11, 61, 341, 1921, 10901, 62281, 358061, 2070241, 12030821, 70231801, 411625181, 2420922961, 14281397141, 84467679721, 500702562701, 2973697798081, 17689598897861, 105374653934041, 628433226338621

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 (11,-30).

Crossrefs

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

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

Programs

Magma

[5^n+6^n: n in [0..30]]; // G. C. Greubel, Jan 11 2023

Mathematica

Table[5^n + 6^n, {n, 0, 20}]
LinearRecurrence[{11,-30},{2,11},20] (* Harvey P. Dale, Aug 03 2025 *)

SageMath

[5^n+6^n for n in range(31)] # G. C. Greubel, Jan 11 2023

Formula

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

G.f.: 1/(1-5*x) + 1/(1-6*x).

E.g.f.: exp(5*x) + exp(6*x). (End)

a(n) = 11*a(n-1) - 30*a(n-2) with a(0)=2, a(1)=11. - Vincenzo Librandi, Jul 21 2010