A155635 8^n+5^n-1.

1, 12, 88, 636, 4720, 35892, 277768, 2175276, 17167840, 136170852, 1083507448, 8638762716, 68963617360, 550976517012, 4404150026728, 35214889666956, 281627564601280, 2252562753138372, 18018213206747608, 144134261562183996

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (14,-53,40).

Formula

G.f.: 1/(1-8*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(8*x)+e^(5*x)-e^x.

a(n)=13*a(n-1)-40*a(n-2)-28 with a(0)=1, a(1)=12 - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[8^n+5^n-1, {n, 0, 40}] (* or *) LinearRecurrence[{14, -53, 40}, {1, 12, 88}, 40] (* Harvey P. Dale, Jan 17 2017 *)

Prog

(PARI) a(n)=8^n+5^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634.

Sequence in context: A125349 A164608 A081009 * A126507 A181704 A009657

Adjacent sequences: A155632 A155633 A155634 * A155636 A155637 A155638

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 30 2009

Status

approved