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

Author

Jean-François Alcover, Apr 16 2015

Keywords

• nonn
• cons
• easy

Examples

			2.034686123968898279429035859581841055803634980065707123684817328...
		

References

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

Links

• Eric Weisstein's MathWorld, Eisenstein Series.
• Index entries for transcendental numbers

Crossrefs

Cf. A013664, A092732, A257134.

Programs

Mathematica

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

PARI

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

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.