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A127087 Convolution square-root of column 1 (A127084) of triangle A127082. 9
1, 1, 3, 11, 48, 244, 1420, 9318, 68019, 545984, 4772890, 45079020, 456958589, 4943710161, 56809133108, 690510011727, 8845800877774, 119052630071419, 1678622651280617, 24733730857289108, 379989034049167269 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

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 *)

CROSSREFS

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

Sequence in context: A345341 A186185 A317170 * A113060 A186374 A187249

Adjacent sequences:  A127084 A127085 A127086 * A127088 A127089 A127090

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 04 2007

STATUS

approved

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Last modified September 28 06:57 EDT 2021. Contains 347703 sequences. (Running on oeis4.)