|
|
A068113
|
|
Numerator of coefficient of (-x^2)^n in F(x)*F(-x) where F(x)=sum(k>=0,x^k/(k!)^3).
|
|
1
|
|
|
1, 3, 5, 7, 11, 143, 221, 323, 7429, 437, 667, 20677, 899, 33263, 1363783, 2022161, 3065857, 3065857, 162490421, 4391633, 259106347, 385499687, 8965109, 600662303, 907383479, 66238993967, 66238993967, 98733594781, 8194888366823
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
REFERENCES
|
Bruce Berndt, Ramanujan's Notebooks Part II, Springer-Verlag; see Hypergeometric series, p. 62.
|
|
LINKS
|
|
|
FORMULA
|
F(x)*F(-x)=sum(n>=0, (3n)!/(n!)^3/((2n)!)^3*(-x^2)^n)
|
|
MATHEMATICA
|
F[x_] := HypergeometricPFQ[{}, {1, 1}, x]; F[x]*F[-x] + O[x]^58 // CoefficientList[#, x^2]& // Numerator // Abs (* Jean-François Alcover, Nov 17 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|