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A016185 a(n) = 9^n - 8^n. 14
0, 1, 17, 217, 2465, 26281, 269297, 2685817, 26269505, 253202761, 2413042577, 22791125017, 213710059745, 1992110014441, 18478745943857, 170706760005817, 1571545212141185, 14425381885981321, 132080236787517137 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

G.f.: x/((1-8x)(1-9x)).

E.g.f.: e^(9*x) - e^(8*x). - Mohammad K. Azarian, Jan 14 2009

a(n) = 9*a(n-1) + 8^(n-1), a(0)=0. - Vincenzo Librandi, Feb 09 2011

a(n) = 17*a(n-1) - 72*a(n-2), a(0)=0, a(1)=1. - Vincenzo Librandi, Feb 09 2011

MATHEMATICA

Join[{a=0, b=1}, Table[c=17*b-72*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 09 2011 *)

CROSSREFS

Sequence in context: A009441 A016293 A139733 * A125452 A322538 A016238

Adjacent sequences:  A016182 A016183 A016184 * A016186 A016187 A016188

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)