A257136 Decimal expansion of 2*Pi^6/945.

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

Offset

1,1

References

L. J. P. Kilford, Modular Forms: A Classical and Computational Introduction, Imperial College Press, (2008) p. 15.

Links

Table of n, a(n) for n=1..102.

Eric Weisstein's MathWorld, Eisenstein Series.

Index entries for transcendental numbers

Formula

2*Pi^6/945 = 2*zeta(6) = G_6(infinity), where the function G_k(z) is the Eisenstein nonzero modular form of weight k.

Example

2.034686123968898279429035859581841055803634980065707123684817328...

Mathematica

RealDigits[2*Pi^6/945, 10, 102] // First

Prog

(PARI) 2*Pi^6/945 \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Cf. A013664, A092732, A257134.

Sequence in context: A307734 A363346 A243202 * A344059 A258871 A283528

Adjacent sequences: A257133 A257134 A257135 * A257137 A257138 A257139

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Apr 16 2015

Status

approved