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A127089
Convolution 4th root of column 3 (A127086) of triangle A127082.
9
1, 1, 5, 32, 239, 1981, 17757, 169765, 1717730, 18311250, 205075693, 2408303246, 29611689597, 380712483013, 5111573917042, 71576222215342, 1043901890068909, 15835797676490439, 249530033466698385, 4078781718332965858
OFFSET
0,3
LINKS
MATHEMATICA
T[n_, k_]:= T[n, k]= If[k==n, 1, Coefficient[(1 + x*Sum[x^(r-k)*Sum[T[r, c], {c, k, r}], {r, k, n-1}] + x^(n+1))^(k+1), x, n-k]]; CoefficientList[Series[ (Sum[T[n, 3]*x^n, {n, 0, 25}]/x^3)^(1/4), {x, 0, 20}], x] (* G. C. Greubel, Jan 30 2020 *)
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 04 2007
STATUS
approved