A155643 10^n-5^n+1.

1, 6, 76, 876, 9376, 96876, 984376, 9921876, 99609376, 998046876, 9990234376, 99951171876, 999755859376, 9998779296876, 99993896484376, 999969482421876, 9999847412109376, 99999237060546876, 999996185302734376

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (16,-65,50).

Formula

G.f.: 1/(1-10*x)-1/(1-5*x)+1/(1-x). E.g.f.: e^(10*x)-e^(5*x)+e^x.

a(n)=15*a(n-1)-50*a(n-2)+36 with a(0)=1, a(1)=6 - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[10^n-5^n+1, {n, 0, 20}] (* Harvey P. Dale, Oct 02 2011 *)

Prog

(PARI) a(n)=10^n-5^n+1^n \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642.

Sequence in context: A137132 A053337 A199026 * A066797 A333097 A231281

Adjacent sequences: A155640 A155641 A155642 * A155644 A155645 A155646

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 30 2009

Status

approved