A377731 Decimal expansion of 4 * sqrt(2*Pi) * Gamma(5/4) / (3 * Gamma(3/4)).

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

Offset

1,1

Comments

This constant appears in asymptotic formulas related to A211996 and A377732.

Links

Table of n, a(n) for n=1..105.

Jean-Marie De Koninck, A. Arthur Bonkli Razafindrasoanaivolala, and Hans Schmidt Ramiliarimanana, Integers with a sum of co-divisors yielding a square, Research in Number Theory, Vol. 10, No. 2 (2024), Article 30; author's copy.

Example

2.47209956973516255791180046292701339495679843136235...

Mathematica

RealDigits[4 * Sqrt[2*Pi] * Gamma[5/4] / (3 * Gamma[3/4]), 10, 120][[1]]

Prog

(PARI) 4 * sqrt(2*Pi) * gamma(5/4) / (3 * gamma(3/4))

Crossrefs

Cf. A019727, A068465, A068467, A211996, A377732.

Sequence in context: A202841 A247290 A246183 * A134974 A377605 A244262

Adjacent sequences: A377728 A377729 A377730 * A377732 A377733 A377734

Keyword

nonn,cons

Author

Amiram Eldar, Nov 05 2024

Status

approved