A127089 Convolution 4th root of column 3 (A127086) of triangle A127082.

1, 1, 5, 32, 239, 1981, 17757, 169765, 1717730, 18311250, 205075693, 2408303246, 29611689597, 380712483013, 5111573917042, 71576222215342, 1043901890068909, 15835797676490439, 249530033466698385, 4078781718332965858

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, A127087, A127088, 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, 3]*x^n, {n,0,25}]/x^3)^(1/4), {x,0,20}], x] (* G. C. Greubel, Jan 30 2020 *)