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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.

%I A242939 #14 Oct 20 2016 03:02:47
%S A242939 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,
%T A242939 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,
%U A242939 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
%N 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.
%D A242939 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.7 Lengyel's constant, p. 318.
%H A242939 G. C. Greubel, <a href="/A242939/b242939.txt">Table of n, a(n) for n = 1..2500</a>
%e A242939 7.37194949076622733754141...
%t A242939 digits = 100; EllipticTheta[2, 0, 1/2]/NProduct[1 - 2^(-j), {j, 1, Infinity}, WorkingPrecision -> digits + 10, NProductFactors -> digits] // RealDigits[#, 10, digits]& // First
%t A242939 RealDigits[EllipticTheta[2, 0, 1/2]/QPochhammer[1/2, 1/2], 10, 100][[1]] (* _Vladimir Reshetnikov_, Oct 17 2016 *)
%Y A242939 Cf. A048651, A086053, A242938, A182176.
%K A242939 nonn,cons
%O A242939 1,1
%A A242939 _Jean-François Alcover_, May 27 2014