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A327280 Decimal expansion of a constant related to A270913 and A327214.

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%I A327280 #6 Oct 02 2023 14:00:22
%S A327280 2,6,0,5,4,2,2,3,3,1,4,2,4,3,8,4,6,9,4,3,3,8,6,0,8,3,2,1,6,0,4,2,2,4,
%T A327280 8,7,6,7,6,9,0,2,0,6,0,3,9,0,8,1,6,3,0,9,2,6,3,0,2,5,9,0,1,0,2,4,1,0,
%U A327280 3,7,5,7,2,8,9,6,2,5,4,2,2,7,8,3,5,6,5,0,8,6,0,4,0,4,4,3,1,1,4,1,0,1,0,6,2,6
%N A327280 Decimal expansion of a constant related to A270913 and A327214.
%F A327280 Equals limit_{n->infinity} A270913(n) * sqrt(n) / A270914^n.
%e A327280 0.26054223314243846943386083216042248767690206039081630926302590102410375728962...
%t A327280 RealDigits[1/Sqrt[s*Pi*Derivative[0, 2][QPochhammer][-1, r*s]]/r /. FindRoot[{2*s == QPochhammer[-1, r*s], r*Derivative[0, 1][QPochhammer][-1, r*s] == 2}, {r, 1/2}, {s, 1/2}, WorkingPrecision -> 120], 10, 106][[1]] (* _Vaclav Kotesovec_, Oct 02 2023 *)
%Y A327280 Cf. A270913, A270914, A327214, A327279, A366018.
%K A327280 nonn,cons
%O A327280 0,1
%A A327280 _Vaclav Kotesovec_, Aug 28 2019