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A016215
Expansion of 1/((1-x)(1-3x)(1-10x)).
2
1, 14, 153, 1570, 15821, 158574, 1586833, 15871610, 158725941, 1587288934, 15872977913, 158730044850, 1587301245661, 15873014848094, 158730155655393, 1587301578077290, 15873015845342981, 158730158647140054, 1587301587052531273, 15873015872268704930
OFFSET
0,2
FORMULA
a(0)=1, a(1)=14, a(n)=13*a(n-1)-30*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011
a(n) = (1/18)-(9/14)*(3)^n+(100/63)*(10)^n. Antonio Alberto Olivares, May 12, 2012
MAPLE
a:= n-> add((10^(n+1-j)-3^(n+1-j))/7, j=0..n): seq(a(n), n=0..20); # Zerinvary Lajos, Jan 15 2007
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-3x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{14, -43, 30}, {1, 14, 153}, 30] (* Harvey P. Dale, Aug 17 2017 *)
CROSSREFS
Sequence in context: A016163 A153884 A154239 * A329711 A290675 A097227
KEYWORD
nonn,easy
AUTHOR
STATUS
approved