A155664 a(n) = 10^n+8^n-1.

1, 17, 163, 1511, 14095, 132767, 1262143, 12097151, 116777215, 1134217727, 11073741823, 108589934591, 1068719476735, 10549755813887, 104398046511103, 1035184372088831, 10281474976710655, 102251799813685247

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..999
• Index entries for linear recurrences with constant coefficients, signature (19,-98,80).

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663.

Programs

Mathematica

Table[10^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{19,-98,80},{1,17,163},20] (* Harvey P. Dale, Oct 11 2011 *)

PARI

a(n)=10^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)+1/(1-8*x)-1/(1-x).

E.g.f.: e^(10*x)+e^(8*x)-e^x.

a(n)=18*a(n-1)-80*a(n-2)-63 with a(0)=1, a(1)=17. - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=17, a(2)=163, a(n)=19*a(n-1)-98*a(n-2)+80*a(n-3). - Harvey P. Dale, Oct 11 2011