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A127088
Convolution cube-root of column 2 (A127085) of triangle A127082.
9
1, 1, 4, 20, 117, 770, 5581, 44023, 375118, 3434312, 33632306, 350894959, 3885892547, 45520247052, 562266198499, 7301972285296, 99436168734138, 1416444089850373, 21059162813775906, 326127491494213657
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, 2]*x^n, {n, 0, 25}]/x^2)^(1/3), {x, 0, 20}], x] (* G. C. Greubel, Jan 30 2020 *)
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 04 2007
STATUS
approved