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A257136 - OEIS
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A257136
Decimal expansion of 2*Pi^6/945.
1
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.
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
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved