|
%I #26 Oct 01 2022 01:03:19
%S 2,5,6,5,0,9,9,6,6,0,3,2,3,7,2,8,1,9,1,0,8,8,0,7,2,7,1,9,3,4,2,0,1,2,
%T 8,2,2,9,3,4,5,2,1,3,3,5,1,2,8,1,8,4,6,4,6,2,0,2,7,7,9,2,1,3,5,1,2,7,
%U 9,7,6,4,7,0,2,6,0,4,4,2,0,2,0,6,6,5,7,3,8,3,8,1,0,4,7,8,8,8,8,1,4,9,0,3,1
%N Decimal expansion of Pi*(2/3)^(1/2).
%C Decimal expansion of Pi*6^(1/2)/3.
%C Constant found in the Hardy-Ramanujan asymptotic formula of the number of partitions of n, for n = 1.
%C Also constant mentioned in the DeSalvo-Pak paper, see pages 2, 4, 6.
%H G. C. Greubel, <a href="/A239049/b239049.txt">Table of n, a(n) for n = 1..10000</a>
%H S. DeSalvo, I. Pak, <a href="http://arxiv.org/abs/1310.7982">Log-concavity of the partition function</a>, arXiv:1310.7982v1 [math.CO], 2013-2014.
%H Steven Finch, <a href="/A000219/a000219_1.pdf">Integer Partitions</a>, Sep 22 2004. [Cached copy, with permission of the author]
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals A000796 * A157697.
%e 2.5650996603237281910880727193420128229345213351281846...
%p evalf(Pi*(2/3)^(1/2), 120) # _Vaclav Kotesovec_, Oct 17 2014
%t RealDigits[Pi*Sqrt[2/3], 10, 100][[1]] (* _G. C. Greubel_, Mar 31 2018 *)
%o (PARI) Pi*sqrt(2/3) \\ _G. C. Greubel_, Mar 31 2018
%o (Magma) R:=RealField(); Pi(R)*Sqrt(2/3); // _G. C. Greubel_, Mar 31 2018
%Y Cf. A000796.
%K nonn,cons
%O 1,1
%A _Omar E. Pol_, Mar 16 2014
%E More terms from _Vaclav Kotesovec_, Oct 17 2014
|
