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A364812
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Triangle of generalized binomial coefficients T(n,k) = ff(n)/(ff(k)*ff(n-k)) where ff(n) = A363838(n), the generalized factorial.
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1
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1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 16, 24, 16, 1, 1, 5, 40, 40, 5, 1, 1, 36, 90, 480, 90, 36, 1, 1, 7, 126, 210, 210, 126, 7, 1, 1, 256, 896, 10752, 3360, 10752, 896, 256, 1, 1, 81, 10368, 24192, 54432, 54432, 24192, 10368, 81, 1, 1, 100, 4050, 345600, 151200, 1088640, 151200, 345600, 4050, 100, 1
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OFFSET
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0,5
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 2, 1;
1, 3, 3, 1;
1, 16, 24, 16, 1;
1, 5, 40, 40, 5, 1;
1, 36, 90, 480, 90, 36, 1;
...
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PROG
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(PARI)
f(n, b) = sum(i=1, logint(n, b), n\b^i);
ff(n) = prod(b=2, n, b^f(n, b)); \\ A363838
T(n, k) = ff(n)/(ff(k)*ff(n-k));
row(n) = vector(n+1, k, T(n, k-1));
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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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