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A051103
Numerator of a certain Selberg integral.
1
1, 2, 2243, 1954, 8798, 32865944, 131921, 762433904, 4641465428984, 212594615488, 1302317393264, 7413941047079296, 25240278679125376, 4579921610967660032, 12897123674403614072, 8798331231517965002752, 1689908720214734836736, 1765127996286967623157194752
OFFSET
1,2
REFERENCES
Donald St. P. Richards, Analogs and extensions of Selberg's integrals, pp. 108-137 of D. Stanton, Ed., "q-Series and Partitions", Springer, 1989, see esp. p. 125.
EXAMPLE
1/12, 2/75, 2243/147000, 1954/165375, 8798/800415, ...
MATHEMATICA
a[n_] := Numerator[2^n*3/((n + 1)^2*(2*n + 1)*(4*n + 3)) * HypergeometricPFQ[{-n, 1, 1}, {n + 2, 1/2 - n}, 1/4]]; Array[a, 20] (* Amiram Eldar, Jul 05 2021 *)
CROSSREFS
Cf. A051104 (denominators).
Sequence in context: A365179 A028487 A073476 * A005800 A200170 A280899
KEYWORD
nonn,frac
EXTENSIONS
More terms from Amiram Eldar, Jul 05 2021
STATUS
approved