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A223531
Triangle S(n,k) by rows: coefficients of 6^((n-1)/2)*(x^(1/6)*d/dx)^n when n=1,3,5,...
0
1, 7, 6, 91, 156, 36, 1729, 4446, 2052, 216, 43225, 148200, 102600, 21600, 1296, 1339975, 5742750, 5301000, 1674000, 200880, 7776, 49579075, 254978100, 294205500, 123876000, 22297680, 1726272, 46656, 2131900225, 12791401350, 17711171100, 9321669000
OFFSET
1,2
EXAMPLE
Triangle begins:
1;
7, 6;
91, 156, 36;
1729, 4446, 2052, 216;
43225, 148200, 102600, 21600, 1296;
1339975, 5742750, 5301000, 1674000, 200880, 7776;
49579075, 254978100, 294205500, 123876000, 22297680, 1726272, 46656;
2131900225, 12791401350, 17711171100, 9321669000, 2237200560, 259803936, 14043456, 279936;
MAPLE
a[0]:= f(x):
for i from 1 to 20 do
a[i] := simplify(6^((i+1)mod 2)*x^((4((i+1)mod 2)+1)/6)*(diff(a[i-1], x$1 )));
end do:
for j from 1 to 10 do
b[j]:=a[2j-1];
end do;
KEYWORD
nonn,tabl
AUTHOR
Udita Katugampola, Mar 23 2013
STATUS
approved