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.
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
Examples
7.37194949076622733754141...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.7 Lengyel's constant, p. 318.
Links
- G. C. Greubel, Table of n, a(n) for n = 1..2500
Programs
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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 *)