A155653 a(n) = 10^n - 6^n + 1.

1, 5, 65, 785, 8705, 92225, 953345, 9720065, 98320385, 989922305, 9939533825, 99637202945, 997823217665, 9986939305985, 99921635835905, 999529815015425, 9997178890092545, 99983073340555265, 999898440043331585, 9999390640259989505, 99996343841559937025, 999978063049359622145

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..900

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

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

Mathematica

A155653[n_] := 10^n - 6^n + 1; Array[A155653, 25, 0] (* Paolo Xausa, Mar 03 2026 *)

Prog

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

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.

Sequence in context: A281232 A236321 A199024 * A087453 A103974 A233093

Adjacent sequences: A155650 A155651 A155652 * A155654 A155655 A155656

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Extensions

More terms from Paolo Xausa, Mar 03 2026

Status

approved