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A127131
Self-convolution square-root of column 1 (A127128) of triangle A127126.
7
1, 1, 4, 23, 175, 1650, 18451, 237703, 3457763, 55967155, 996755108, 19360232181, 407152004331, 9215091412811, 223307281633261, 5768104533416742, 158197552561322216, 4591028199312877166, 140551293414196198297
OFFSET
0,3
LINKS
MATHEMATICA
T[n_, k_]:= T[n, k]= If[k==n, 1, Coefficient[(1 +x*Sum[x^(r-k-1)*Sum[T[r, c], {c, k+1, r}], {r, k+1, n}] +x^(n+1))^(k+1), x, n-k]]; CoefficientList[Series[ (Sum[T[n, 1]*x^n, {n, 0, 22}]/x)^(1/2), {x, 0, 20}], x] (* G. C. Greubel, Jan 28 2020 *)
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 05 2007
STATUS
approved