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A016217
Expansion of 1/((1-x)(1-3x)(1-12x)).
1
1, 16, 205, 2500, 30121, 361816, 4342885, 52117900, 625424641, 7505125216, 90061591165, 1080739359700, 12968873113561, 155626479754216, 1867517764225045, 22410213192223900, 268922558371256881, 3227070700648792816, 38724848408366644525, 464698180902143126500
OFFSET
0,2
FORMULA
a(0)=1, a(1)=16, a(n)=15*a(n-1)-36*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011
a(0)=1, a(1)=16, a(2)=205, a(n)=16*a(n-1)-51*a(n-2)+36*a(n-3). - Harvey P. Dale, May 06 2012
a(n) = 1/22-(1/2)*3^n+(16/11)*12^n. - Antonio Alberto Olivares, May 12, 2012
MAPLE
a:= n-> add((12^(n+1-j)-3^(n+1-j))/9, j=0..n): seq(a(n), n=0..20); # Zerinvary Lajos, Jan 12 2007
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-3x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{16, -51, 36}, {1, 16, 205}, 30] (* Harvey P. Dale, May 06 2012 *)
CROSSREFS
Sequence in context: A238282 A161729 A157707 * A055758 A046088 A186853
KEYWORD
nonn
AUTHOR
STATUS
approved