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A223527
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Triangle S(n,k) by rows: coefficients of 4^((n-1)/2)*(x^(1/4)*d/dx)^n when n=1,3,5,...
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0
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1, 5, 4, 45, 72, 16, 585, 1404, 624, 64, 9945, 31824, 21216, 4352, 256, 208845, 835380, 742560, 228480, 26880, 1024, 5221125, 25061400, 27846000, 11424000, 2016000, 153600, 4096, 151412625, 847910700, 1130547600, 579768000, 136416000, 15590400, 831488, 16384
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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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Triangle begins:
1;
5, 4;
45, 72, 16;
585, 1404, 624, 64;
9945, 31824, 21216, 4352, 256;
208845, 835380, 742560, 228480, 26880, 1024;
5221125, 25061400, 27846000, 11424000, 2016000, 153600, 4096;
151412625, 847910700, 1130547600, 579768000, 136416000, 15590400, 831488, 16384;
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MAPLE
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a[0]:= f(x):
for i from 1 to 20 do
a[i] := simplify(4^((i+1)mod 2)*x^((2((i+1)mod 2)+1)/4)*(diff(a[i-1], x$1 )));
end do:
for j from 1 to 10 do
b[j]:=a[2j-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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