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A098436
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Triangle of 3rd central factorial numbers T(n,k).
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3
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1, 1, 1, 1, 9, 1, 1, 73, 36, 1, 1, 585, 1045, 100, 1, 1, 4681, 28800, 7445, 225, 1, 1, 37449, 782281, 505280, 35570, 441, 1, 1, 299593, 21159036, 33120201, 4951530, 130826, 784, 1, 1, 2396745, 571593565, 2140851900, 652061451, 33209946, 399738, 1296, 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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Recurrence: T(n, k) = k^3*T(n-1, k) + T(n-1, k-1), T(0, 0)=1.
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EXAMPLE
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1;
1, 1;
1, 9, 1;
1, 73, 36, 1;
1, 585, 1045, 100, 1;
...
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MATHEMATICA
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T[n_, n_] = 1;
T[n_ /; n>=0, k_] /; 0<=k<=n := T[n, k] = (k+1)^3 T[n-1, k]+T[n-1, k-1];
T[_, _] = 0;
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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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