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A223518
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Triangle T(n,k) represents the coefficients of (x^16*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
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0
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1, 16, 1, 496, 48, 1, 22816, 2752, 96, 1, 1391776, 193440, 8800, 160, 1, 105774976, 16286656, 879840, 21440, 240, 1, 9625522816, 1604147328, 98111776, 2895200, 44240, 336, 1, 1020305418496, 181269286912, 12200219136, 413688576, 7761600, 81536, 448, 1
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1;
16,1;
496,48,1;
22816,2752,96,1;
1391776,193440,8800,160,1;
105774976,16286656,879840,21440,240,1;
9625522816,1604147328,98111776,2895200,44240,336,1;
1020305418496,181269286912,12200219136,413688576,7761600,81536,448,1
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MAPLE
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b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^16*diff(b[j-1], x$1);
end do;
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CROSSREFS
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Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
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KEYWORD
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AUTHOR
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STATUS
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approved
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