cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A239049 Decimal expansion of Pi*(2/3)^(1/2).

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%I A239049 #31 May 10 2025 11:07:34
%S A239049 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 A239049 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 A239049 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 A239049 Decimal expansion of Pi*(2/3)^(1/2).
%C A239049 Decimal expansion of Pi*6^(1/2)/3.
%C A239049 Constant found in the Hardy-Ramanujan asymptotic formula of the number of partitions of n, for n = 1.
%C A239049 Also constant mentioned in the DeSalvo-Pak paper, see pages 2, 4, 6.
%D A239049 G. H. Hardy, Ramanujan: twelve lectures on subjects suggested by his life and work, Cambridge, University Press, 1940, p. 117.
%H A239049 G. C. Greubel, <a href="/A239049/b239049.txt">Table of n, a(n) for n = 1..10000</a>
%H A239049 S. DeSalvo and 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 A239049 Steven Finch, <a href="/A000219/a000219_1.pdf">Integer Partitions</a>, Sep 22 2004. [Cached copy, with permission of the author]
%H A239049 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A239049 Equals A000796 * A157697.
%e A239049 2.5650996603237281910880727193420128229345213351281846...
%p A239049 evalf(Pi*(2/3)^(1/2), 120) # _Vaclav Kotesovec_, Oct 17 2014
%t A239049 RealDigits[Pi*Sqrt[2/3], 10, 100][[1]] (* _G. C. Greubel_, Mar 31 2018 *)
%o A239049 (PARI) Pi*sqrt(2/3) \\ _G. C. Greubel_, Mar 31 2018
%o A239049 (Magma) R:=RealField(); Pi(R)*Sqrt(2/3); // _G. C. Greubel_, Mar 31 2018
%Y A239049 Cf. A000796.
%K A239049 nonn,cons
%O A239049 1,1
%A A239049 _Omar E. Pol_, Mar 16 2014
%E A239049 More terms from _Vaclav Kotesovec_, Oct 17 2014