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A332982 Decimal expansion of Pi/exp(gamma). 0

%I #15 Mar 28 2020 03:39:13

%S 1,7,6,3,8,7,6,9,8,8,8,6,2,0,4,5,6,9,0,6,9,2,6,6,2,1,3,4,5,4,3,3,3,9,

%T 5,3,5,0,8,6,0,2,7,2,2,8,9,6,6,7,5,0,7,0,2,3,1,3,4,3,5,3,2,1,1,2,1,0,

%U 5,7,9,1,2,5,9,0,0,7,7,7,1,7,3,2,3,9,2,0,1,8,6,3,6,7,1,8,9,4,3,8

%N Decimal expansion of Pi/exp(gamma).

%C Arises in the weak-coupling BCS model of superconductors, from the integral Integral_{0..a} tanh(x)/x dx that approaches log(4*exp(gamma)*a/Pi) as a becomes large.

%H J. Bardeen, L. N. Cooper, and J. R. Schrieffer, <a href="https://doi.org/10.1103/PhysRev.108.1175">Theory of Superconductivity</a>, Physical Review, 108 (1957), 1175-1204.

%e 1.7638769888620456906926621345433395350860272289667507023134353211210579125900...

%t RealDigits[Pi/E^(EulerGamma), 10, 100][[1]]

%o (PARI) Pi/exp(Euler) \\ _Michel Marcus_, Mar 28 2020

%Y Cf. A000796 (Pi), A001113 (e), A001620 (Euler-Mascheroni constant), A073004 (exp(gamma)), A080130 (exp(-gamma)).

%K nonn,cons

%O 1,2

%A _Spenser Talkington_, Mar 05 2020

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)