A051103 - OEIS

A051103

Numerator of a certain Selberg integral.

1, 2, 2243, 1954, 8798, 32865944, 131921, 762433904, 4641465428984, 212594615488, 1302317393264, 7413941047079296, 25240278679125376, 4579921610967660032, 12897123674403614072, 8798331231517965002752, 1689908720214734836736, 1765127996286967623157194752

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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.

LINKS

Table of n, a(n) for n=1..18.

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

Adjacent sequences: A051100 A051101 A051102 * A051104 A051105 A051106

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Amiram Eldar, Jul 05 2021

STATUS

approved