A379664 Decimal expansion of hypergeom([1/2, 1/2], [1], -2).

7, 4, 5, 7, 4, 9, 1, 8, 7, 3, 1, 6, 3, 2, 9, 6, 0, 9, 9, 6, 2, 4, 8, 2, 0, 6, 5, 3, 5, 3, 4, 5, 1, 1, 0, 4, 3, 0, 2, 6, 7, 5, 1, 9, 7, 9, 8, 3, 2, 2, 1, 8, 6, 7, 2, 3, 3, 7, 4, 1, 3, 3, 7, 1, 0, 7, 0, 1, 0, 2, 5, 2, 0, 7, 5, 3, 5, 9, 1, 5, 2, 3, 2, 8, 6, 2, 9, 8, 9, 8, 4, 8, 2, 2, 2, 8, 2, 5, 4, 1

Offset

0,1

References

Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 17, page 143.

Links

Table of n, a(n) for n=0..99.

Formula

Equals hypergeom([1/2, 1/2], [1], 2/3)/sqrt(3).

Equals 2*EllipticK(2/3)/(Pi*sqrt(3)).

Example

0.74574918731632960996248206535345110430267519798...

Mathematica

RealDigits[Hypergeometric2F1[1/2, 1/2, 1, -2], 10, 100][[1]] (* or *)
RealDigits[Hypergeometric2F1[1/2, 1/2, 1, 2/3]/Sqrt[3], 10, 100][[1]] (* or *)
RealDigits[2EllipticK[2/3]/(Pi Sqrt[3]), 10, 100][[1]]

Prog

(PARI) hypergeom([1/2, 1/2], 1, 2/3)/sqrt(3) \\ Hugo Pfoertner, Dec 29 2024

Crossrefs

Cf. A000796, A002194, A304656.

Sequence in context: A019899 A357100 A085662 * A155684 A345292 A198357

Adjacent sequences: A379661 A379662 A379663 * A379665 A379666 A379667

Keyword

nonn,cons

Author

Stefano Spezia, Dec 29 2024

Status

approved