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A140045
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Sequence generated from Z/6Z addition table considered as a matrix.
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1
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1, 40, 495, 8616, 124011, 1905804, 28383615, 427423824, 6403870611, 96118424820, 1441505073735, 21624751859256, 324361491427611, 4865500724823324, 72982158337539855, 1094735196058294944, 16421015247083935011, 246315330264968309700, 3694729496968781349975
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Let X = the Z/6Z addition table considered as a matrix: [0,1,2,3,4,5; 1,2,3,4,5,0; 2,3,4,5,0,1; 3,4,5,0,1,2; 4,5,0,1,2,3; 5,0,1,2,3,4]. a(n) = term (1,2) of X^n.
G.f.: -x*(216*x^4-468*x^3-78*x^2+28*x+1) / ((3*x+1)*(6*x-1)*(6*x+1)*(15*x-1)*(12*x^2-1)). - Colin Barker, May 25 2013
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EXAMPLE
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a(3) = 495 since term (1,2) of X^3 = 495.
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MAPLE
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a:= n-> (Matrix(6, (i, j)-> irem(i+j-2, 6))^n)[1, 2]:
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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