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A016239 Expansion of 1/((1-x)(1-5x)(1-12x)). 0
1, 18, 247, 3120, 38221, 462558, 5570227, 66940380, 803772841, 9647715498, 115784793007, 1389478551240, 16674047790661, 200090099366838, 2401088821796587, 28813104008531700, 345757438837243681 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(0)=1, a(1)=18; for n>1, a(n)=17*a(n-1)-60*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011

a(n) = (4*12^(n+2) - 11*5^(n+2) + 7)/308. [Yahia Kahloune, Aug 13 2013]

MAPLE

a:=n->sum((12^(n-j)-5^(n-j))/7, j=0..n): seq(a(n), n=1..17); # Zerinvary Lajos, Jan 12 2007

PROG

(PARI) a(n) = (4*12^(n+2) - 11*5^(n+2) + 7)/308; \\ Joerg Arndt, Aug 13 2013

CROSSREFS

Sequence in context: A110395 A153600 A016183 * A153886 A154241 A154250

Adjacent sequences:  A016236 A016237 A016238 * A016240 A016241 A016242

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)