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A223536
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Coefficients of (x^(1/6)*d/dx)^n for positive integer n.
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4
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1, 1, 6, -2, 9, 8, 6, 13, 36, 36, -42, 70, -75, 180, 108, 798, -1162, 945, -630, 1620, 648, 3192, -4284, 3052, -1575, 630, -2268, -648, 92568, -117684, 77588, -35637, 12600, -1512, 18144, 3888, 1573656
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OFFSET
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1,3
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COMMENTS
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These are generalized Stirling numbers.
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LINKS
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FORMULA
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G.f.: exp(((1+5/6*x*y)^(6/5)-1)/x).
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EXAMPLE
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1;
1, 6;
-2, 9, 8;
6, 13, 36, 36;
-42, 70, -75, 180, 108;
798, -1162, 945, -630, 1620, 648;
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MAPLE
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# This will generate the sequence as coefficients of pseudo polynomials
# up to a constant multiple.
a[0] := f(x):
for i to 10 do
a[i] := simplify(x^(1/6)*(diff(a[i-1], x$1)))
end do;
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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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