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A155664 10^n+8^n-1 11
1, 17, 163, 1511, 14095, 132767, 1262143, 12097151, 116777215, 1134217727, 11073741823, 108589934591, 1068719476735, 10549755813887, 104398046511103, 1035184372088831, 10281474976710655, 102251799813685247 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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) [From Harvey P. Dale, Oct 11 2011]
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 *)
PROG
(PARI) a(n)=10^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015
CROSSREFS
Sequence in context: A160295 A125645 A068518 * A096192 A367598 A076458
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 31 2009
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)