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.
%I A143301 #29 Sep 04 2025 09:31:33 %S A143301 1,7,1,5,0,0,4,9,3,1,4,1,5,3,6,0,6,5,8,6,0,4,3,9,9,7,1,5,5,5,2,1,2,1, %T A143301 0,9,6,2,2,2,6,2,9,0,4,2,2,9,5,5,0,8,4,1,7,1,4,2,1,1,0,9,1,8,2,3,6,9, %U A143301 8,6,0,5,5,9,4,3,0,8,5,7,7,9,8,7,9,7,1,1,9,8,0,8,6,8,0,0,8,1,7,3,0,6,4,2,3 %N A143301 Decimal expansion of the Hall-Montgomery constant. %C A143301 Named after Richard Roxby Hall and Hugh Lowell Montgomery. - _Amiram Eldar_, Aug 25 2020 %D A143301 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, pp. 205-207. %H A143301 Thomas Bloom, <a href="https://www.erdosproblems.com/121">Problem 121</a>, Erdős Problems. %H A143301 Andrew Granville and Kannan Soundararajan, <a href="https://www.jstor.org/stable/2661346">The spectrum of multiplicative functions</a>, Annals of Mathematics, Vol. 153, No. 2 (2001), pp. 407-470. %H A143301 R. R. Hall, <a href="https://doi.org/10.1017/S0013091500023324">Proof of a conjecture of Heath-Brown concerning quadratic residues</a>, Proceedings of the Edinburgh Mathematical Society, Vol. 39, No. 3 (1996), pp. 581-588. %H A143301 Terence Tao, <a href="https://arxiv.org/abs/2405.11610">On product representations of squares</a>, arXiv:2405.11610 [math.NT], May 2024. See page 2, (1.2). %H A143301 Terence Tao, <a href="https://github.com/teorth/erdosproblems/blob/main/README.md#table">Erdős problem database</a>, see no. 121. %H A143301 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Hall-MontgomeryConstant.html">Hall-Montgomery Constant</a>. %F A143301 Equals 1 + Pi^2/6 + 2*PolyLog(2, -sqrt(e)). %F A143301 Equals (1 - A126689)/2. - _Amiram Eldar_, Aug 25 2020 %F A143301 Equals 1 - A246849. - _Hugo Pfoertner_, May 25 2024 %e A143301 0.17150049314153606586... %t A143301 RealDigits[1+Pi^2/6+2PolyLog[2,-Sqrt[E]],10,120][[1]] (* _Harvey P. Dale_, Jul 18 2013 *) %o A143301 (Python) %o A143301 from mpmath import mp, pi, e, polylog, sqrt %o A143301 mp.dps=106 %o A143301 print([int(z) for z in list(str(1 + pi**2/6 + 2* polylog(2, - sqrt(e)))[2:-1])]) # _Indranil Ghosh_, Jul 04 2017 %Y A143301 Cf. A126689, A246849. %K A143301 nonn,cons,changed %O A143301 0,2 %A A143301 _Eric W. Weisstein_, Aug 05 2008