A155615 a(n) = 10^n - 3^n + 1.

1, 8, 92, 974, 9920, 99758, 999272, 9997814, 99993440, 999980318, 9999940952, 99999822854, 999999468560, 9999998405678, 99999995217032, 999999985651094, 9999999956953280, 99999999870859838, 999999999612579512

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-43,30).

Formula

G.f.: 1/(1-10*x)-1/(1-3*x)+1/(1-x).

E.g.f.: e^(10*x)-e^(3*x)+e^x.

a(n) = 13*a(n-1)-30*a(n-2)+18 with a(0)=1, a(1)=8. - Vincenzo Librandi, Jul 21 2010

Prog

(PARI) a(n)=10^n-3^n+1 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614.

Sequence in context: A222400 A358884 A280159 * A322650 A221765 A292842

Adjacent sequences: A155612 A155613 A155614 * A155616 A155617 A155618

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 26 2009

Status

approved