A127131 Self-convolution square-root of column 1 (A127128) of triangle A127126.

1, 1, 4, 23, 175, 1650, 18451, 237703, 3457763, 55967155, 996755108, 19360232181, 407152004331, 9215091412811, 223307281633261, 5768104533416742, 158197552561322216, 4591028199312877166, 140551293414196198297

Offset: 0

Author

Paul D. Hanna, Jan 05 2007

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..80

Crossrefs

Cf. A127126, A127127, A127128, A127129, A127130, A127132, A127133, A127134, A127135.

Programs

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 *)