A155633 6^n+5^n-1.

1, 10, 60, 340, 1920, 10900, 62280, 358060, 2070240, 12030820, 70231800, 411625180, 2420922960, 14281397140, 84467679720, 500702562700, 2973697798080, 17689598897860, 105374653934040, 628433226338620

Offset: 0

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-41,30).

Crossrefs

Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631.

Programs

PARI

a(n)=6^n+5^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-6*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(6*x)+e^(5*x)-e^x.

a(n)=11*a(n-1)-30*a(n-2)-20 with a(0)=1, a(1)=10 - Vincenzo Librandi, Jul 21 2010