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A068112 Denominator of coefficient of (-x^2)^n in F(x)*F(-x) where F(x)=sum(k>=0,x^k/(k!)^3). 1

%I #9 Nov 17 2016 09:41:23

%S 1,4,768,1555200,20808990720,9029615616000000,1415988202438656000000,

%T 536259842454308939366400000,7188611938994779905746534400000000,

%U 503281313253202450261043834781696000000

%N Denominator of coefficient of (-x^2)^n in F(x)*F(-x) where F(x)=sum(k>=0,x^k/(k!)^3).

%D Bruce Berndt, Ramanujan's Notebooks Part II, Springer-Verlag; see Hypergeometric series, p. 62.

%F F(x)*F(-x)=sum(n>=0, (3n)!/(n!)^3/((2n)!)^3*(-x^2)^n)

%t F[x_] := HypergeometricPFQ[{}, {1, 1}, x]; F[x]*F[-x] + O[x]^20 // CoefficientList[#, x^2]& // Denominator (* _Jean-François Alcover_, Nov 17 2016 *)

%Y Cf. A068113.

%K easy,frac,nonn

%O 0,2

%A _Benoit Cloitre_, Mar 21 2002

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Last modified August 10 17:16 EDT 2024. Contains 375058 sequences. (Running on oeis4.)