A127087 Convolution square-root of column 1 (A127084) of triangle A127082.

1, 1, 3, 11, 48, 244, 1420, 9318, 68019, 545984, 4772890, 45079020, 456958589, 4943710161, 56809133108, 690510011727, 8845800877774, 119052630071419, 1678622651280617, 24733730857289108, 379989034049167269

Offset: 0

Author

Paul D. Hanna, Jan 04 2007

Keywords

• nonn

Links

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

Crossrefs

Cf. A127082, A127083, A127084, A127085, A127086, A127088, A127089, A127090, A127091.

Programs

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, 1]*x^n, {n,0,25}]/x)^(1/2), {x,0,20}], x] (* G. C. Greubel, Jan 30 2020 *)