A143168 - OEIS

%I #11 Dec 24 2017 09:01:38

%S 1,18,345,7650,196245,5755050,190482705,7034400450,286988226525,

%T 12826061498250,623403611055225,32747785180560450,1849179329801929125,

%U 111713055889014830250,7190273917194645902625,491244630824362410245250,35508203161436371983742125

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

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

%F 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).

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

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

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Sep 15 2008