A155625 a(n) = 11^n + 4^n - 1.

1, 14, 136, 1394, 14896, 162074, 1775656, 19503554, 214424416, 2358209834, 25938473176, 285315864914, 3138445153936, 34522779252794, 379750102018696, 4177249243157474, 45949734158539456, 505447045679162954, 5559917382211708216, 61159090723292453234, 672749996032071636976

Offset: 0

Author

Mohammad K. Azarian, Jan 29 2009

Keywords

• nonn
• easy

Links

• Paolo Xausa, Table of n, a(n) for n = 0..950
• Index entries for linear recurrences with constant coefficients, signature (16,-59,44).

Crossrefs

Cf. A155588, A155589, A155590, A155592, A155593, A155594, A155595, A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624.

Programs

Mathematica

Table[11^n + 4^n - 1, {n, 0, 25}] (* Paolo Xausa, Jul 30 2024 *)

PARI

a(n)=11^n+4^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-11*x)+1/(1-4*x)-1/(1-x).

E.g.f.: exp(11*x)+exp(4*x)-exp(x).

a(n) = 15*a(n-1)-44*a(n-2)-30 with a(0) = 1, a(1) = 14. - Vincenzo Librandi, Jul 21 2010