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A170737 G.f.: (1+x)/(1-17*x). 50
1, 18, 306, 5202, 88434, 1503378, 25557426, 434476242, 7386096114, 125563633938, 2134581776946, 36287890208082, 616894133537394, 10487200270135698, 178282404592306866, 3030800878069216722, 51523614927176684274, 875901453762003632658, 14890324713954061755186 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Kenny Lau, Table of n, a(n) for n = 0..812

Index entries for linear recurrences with constant coefficients, signature (17).

FORMULA

a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*18^k. - Philippe Deléham, Dec 04 2009

a(0) = 1; for n>0, a(n) = 18*17^(n-1). - Vincenzo Librandi, Dec 05 2009

MATHEMATICA

Join[{1}, 18*17^Range[0, 25]] (* Vladimir Joseph Stephan Orlovsky, Jul 13 2011 *)

CoefficientList[Series[(1+x)/(1-17x), {x, 0, 30}], x] (* or *) LinearRecurrence[ {17}, {1, 18}, 30] (* or *) Join[{1}, NestList[ 17#&, 18, 30]] (* Harvey P. Dale, Jul 11 2015 *)

PROG

(PARI) a(n)=18*17^n\17 \\ Charles R Greathouse IV, Jul 11 2016

(Python) for i in range(1001):print(i, 18*17**(i-1) if i>0 else 1) # Kenny Lau, Aug 01 2017

CROSSREFS

Sequence in context: A170603 A170651 A170699 * A091045 A179121 A226298

Adjacent sequences:  A170734 A170735 A170736 * A170738 A170739 A170740

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 04 2009

STATUS

approved

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Last modified June 16 12:38 EDT 2019. Contains 324152 sequences. (Running on oeis4.)