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A202184
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Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x^2) = sum(n>=m, T(n,m) x^n*m!/n!).
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0
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1, 0, 1, 0, 0, 1, 24, 0, 0, 1, -60, 120, 0, 0, 1, 240, -360, 360, 0, 0, 1, 1260, 1680, -1260, 840, 0, 0, 1, -12096, 30240, 6720, -3360, 1680, 0, 0, 1, 105840, -290304, 226800, 20160, -7560, 3024, 0, 0, 1, -388800, 2721600, -2358720, 1058400, 50400, -15120
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OFFSET
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1,7
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COMMENTS
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1
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LINKS
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Table of n, a(n) for n=1..51.
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FORMULA
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T(n,m):=n!/m!*sum(k=0..(n-m)/2, (m^k*stirling1(n-m-2*k,k))/(n-m-2*k)!).
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EXAMPLE
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1,
0, 1,
0, 0, 1,
24, 0, 0, 1,
-60, 120, 0, 0, 1,
240, -360, 360, 0, 0, 1,
1260, 1680, -1260, 840, 0, 0, 1
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PROG
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(Maxima)
T(n, m):=n!/m!*sum((m^k*stirling1(n-m-2*k, k))/(n-m-2*k)!, k, 0, (n-m)/2);
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CROSSREFS
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Sequence in context: A053558 A140793 A023923 * A075406 A075404 A194894
Adjacent sequences: A202181 A202182 A202183 * A202185 A202186 A202187
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KEYWORD
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sign,tabl
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AUTHOR
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Vladimir Kruchinin, Dec 13 2011
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STATUS
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approved
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