A143168 Third column of triangle A000369: |S2(-3; n+3, 3)|.

1, 18, 345, 7650, 196245, 5755050, 190482705, 7034400450, 286988226525, 12826061498250, 623403611055225, 32747785180560450, 1849179329801929125, 111713055889014830250, 7190273917194645902625, 491244630824362410245250, 35508203161436371983742125

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = A000369(n+3,3) = |S2(-3; n+3, 3)|, n >= 0.

E.g.f.: (d^3/dx^3)((1-(1-4*x)^(1/4))^3)/3! = (-1/2)*(20*x - 5 - 21*(1-4*x)^(1/2)+24*(1-4*x)^(3/4))/(1-4*x)^(13/4).

Prog

(PARI) lista(nn) = default(seriesprecision, nn); Vec(serlaplace(deriv(deriv(deriv(((1-(1-4*x)^(1/4))^3)/3!))))); \\ Michel Marcus, Dec 24 2017

Crossrefs

Second column of A000369 is A143167, fourth one is A143169.

Sequence in context: A039646 A212669 A158590 * A127585 A230348 A366684

Adjacent sequences: A143165 A143166 A143167 * A143169 A143170 A143171

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 15 2008

Status

approved