A155653 10^n-6^n+1.

1, 5, 65, 785, 8705, 92225, 953345, 9720065, 98320385, 989922305, 9939533825, 99637202945, 997823217665, 9986939305985, 99921635835905, 999529815015425, 9997178890092545, 99983073340555265, 999898440043331585

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (17,-76,60).

Crossrefs

Cf. A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652.

Programs

PARI

a(n)=10^n-6^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(10*x)-e^(6*x)+e^x.

a(n)=16*a(n-1)-60*a(n-2)+45 with a(0)=1, a(1)=5 - Vincenzo Librandi, Jul 21 2010