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A242939
Decimal expansion of c_o, coefficient associated with the asymptotic evaluation c_o*2^(n^2/4) of the number of subspaces of the n-dimensional vector space over the finite field F_2, n being odd.
3
7, 3, 7, 1, 9, 4, 9, 4, 9, 0, 7, 6, 6, 2, 2, 7, 3, 3, 7, 5, 4, 1, 4, 1, 1, 8, 3, 3, 6, 7, 2, 8, 6, 8, 2, 3, 7, 7, 1, 6, 1, 5, 2, 3, 9, 5, 6, 3, 9, 7, 4, 0, 7, 7, 8, 9, 6, 4, 7, 5, 7, 5, 9, 1, 7, 1, 3, 3, 4, 7, 7, 8, 2, 2, 2, 8, 5, 8, 7, 6, 5, 7, 6, 8, 3, 3, 1, 3, 3, 8, 3, 0, 2, 7, 4, 3, 6, 6, 5, 9
OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.7 Lengyel's constant, p. 318.
LINKS
EXAMPLE
7.37194949076622733754141...
MATHEMATICA
digits = 100; EllipticTheta[2, 0, 1/2]/NProduct[1 - 2^(-j), {j, 1, Infinity}, WorkingPrecision -> digits + 10, NProductFactors -> digits] // RealDigits[#, 10, digits]& // First
RealDigits[EllipticTheta[2, 0, 1/2]/QPochhammer[1/2, 1/2], 10, 100][[1]] (* Vladimir Reshetnikov, Oct 17 2016 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved