A372327 Decimal expansion of Pi^(1/2)*Gamma(1/18)/(9*Gamma(5/9)).

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

Offset: 1

Author

Takayuki Tatekawa, Apr 28 2024

Keywords

• nonn
• cons

Comments

Constant from generalized Pi integrals: the case of n=18.

Examples

			2.14999545849204723391222945664...
		

Links

• Takayuki Tatekawa, Table of n, a(n) for n = 1..10001

Crossrefs

Cf. A085565, A113477, A262427, A371929, A371930.

Programs

Mathematica

RealDigits[Sqrt[Pi]/9*Gamma[1/18]/Gamma[5/9], 10, 5001][[1]]

Formula

Equals 2*Integral_{x=0..1} dx/sqrt(1-x^18).

Equals Gamma(1/18)^2 / (9 * 2^(8/9) * Gamma(1/9)). - Vaclav Kotesovec, Apr 29 2024