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A223530
Triangle S(n,k) by rows: coefficients of 5^(n/2)*(x^(4/5)*d/dx)^n when n=0,2,4,6,...
0
1, 1, 5, 6, 60, 25, 66, 990, 825, 125, 1056, 21120, 26400, 8000, 625, 22176, 554400, 924000, 420000, 65625, 3125, 576576, 17297280, 36036000, 21840000, 5118750, 487500, 15625, 17873856, 625584960, 1563962400, 1184820000, 370256250, 52893750, 3390625, 78125
OFFSET
1,3
EXAMPLE
Triangle begins:
1;
1, 5;
6, 60, 25;
66, 990, 825, 125;
1056, 21120, 26400, 8000, 625;
22176, 554400, 924000, 420000, 65625, 3125;
576576, 17297280, 36036000, 21840000, 5118750, 487500, 15625;
17873856, 625584960, 1563962400, 1184820000, 370256250, 52893750, 3390625, 78125;
MAPLE
a[0]:= f(x):
for i from 1 to 20 do
a[i] := simplify(5^((i+1)mod 2)*x^((3((i+1)mod 2)+1)/5)*(diff(a[i-1], x$1 )));
end do:
for j from 1 to 10 do
b[j]:=a[2j];
end do;
KEYWORD
nonn,tabl
AUTHOR
Udita Katugampola, Mar 23 2013
STATUS
approved