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A291980
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Triangle read by rows, T(n, k) = n!*[t^k] ([x^n] exp(x*t)/(1 - log(1+x))) for 0<=k<=n.
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2
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1, 1, 1, 1, 2, 1, 2, 3, 3, 1, 4, 8, 6, 4, 1, 14, 20, 20, 10, 5, 1, 38, 84, 60, 40, 15, 6, 1, 216, 266, 294, 140, 70, 21, 7, 1, 600, 1728, 1064, 784, 280, 112, 28, 8, 1, 6240, 5400, 7776, 3192, 1764, 504, 168, 36, 9, 1
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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LINKS
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EXAMPLE
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Triangle starts:
[1]
[1, 1]
[1, 2, 1]
[2, 3, 3, 1]
[4, 8, 6, 4, 1]
[14, 20, 20, 10, 5, 1]
[38, 84, 60, 40, 15, 6, 1]
[216, 266, 294, 140, 70, 21, 7, 1]
[600, 1728, 1064, 784, 280, 112, 28, 8, 1]
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MAPLE
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T_row := proc(n) exp(x*t)/(1 - log(1+x)): series(%, x, n+1):
seq(n!*coeff(coeff(%, x, n), t, k), k=0..n) end:
seq(T_row(n), n=0..10);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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