A371881 Decimal expansion of Gamma(1/20).

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

Offset

2,2

Links

Table of n, a(n) for n=2..106.

Index to sequences related to gamma function

Formula

Equals 2^(33/40) * 5^(5/16) * (1 + sqrt(5))^(1/8) * sqrt(5^(1/4) + sqrt(2 + sqrt(5))) * sqrt(Pi*Gamma(1/10)) * QPochhammer(exp(-2*sqrt(5)*Pi)) / exp(sqrt(5)*Pi/12).

Example

19.4700853112555128640473209677271275456304195833419756810827837553645...

Maple

evalf(GAMMA(1/20), 130);  # Alois P. Heinz, Apr 15 2024

Mathematica

RealDigits[Gamma[1/20], 10, 120][[1]]
RealDigits[2^(33/40) * 5^(5/16) * (1 + Sqrt[5])^(1/8) * Sqrt[5^(1/4) + Sqrt[2 + Sqrt[5]]] * Sqrt[Pi * Gamma[1/10]] * QPochhammer[E^(-2*Sqrt[5]*Pi)] / E^(Sqrt[5]*Pi/12), 10, 120][[1]]

Crossrefs

Cf. A073005, A175380, A256191, A203140, A371983.

Sequence in context: A245084 A199054 A131109 * A267315 A247412 A154397

Adjacent sequences: A371878 A371879 A371880 * A371882 A371883 A371884

Keyword

nonn,cons

Author

Vaclav Kotesovec, Apr 15 2024

Status

approved