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 A072508 #50 Feb 16 2025 08:32:46 %S A072508 1,4,5,6,0,7,4,9,4,8,5,8,2,6,8,9,6,7,1,3,9,9,5,9,5,3,5,1,1,1,6,5,4,3, %T A072508 5,5,7,6,5,3,1,7,8,3,7,4,8,4,7,1,3,1,5,4,0,2,7,0,7,0,2,4,3,7,4,1,4,0, %U A072508 0,1,5,0,6,2,6,5,3,8,9,8,9,5,5,9,9,6,4,5,3,1,9,4,0,1,8,6,0,3,0,9,1,0,9,9,2 %N A072508 Decimal expansion of Backhouse constant. %C A072508 The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - _T. D. Noe_, Oct 14 2003 %D A072508 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.5, p. 294. %H A072508 S. R. Finch, <a href="/A104225/a104225.pdf">Backhouse's constant</a>, 1995. [Cached copy, with permission] %H A072508 Philippe Flajolet, in response to the previous document from S. R. Finch, <a href="/A104225/a104225.txt">Backhouse's constant</a>, 1995. %H A072508 S. R. Finch, <a href="/A104225/a104225_1.pdf">Kalmar's Composition Constant</a>, Section 5.5 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 292-295, 2003. [Cached copy, with permission] %H A072508 S. R. Finch, <a href="/A001055/a001055.pdf">Kalmar's composition constant</a>, June 5, 2003. [A different version. Cached copy, with permission of the author] %H A072508 Simon Plouffe, <a href="https://web.archive.org/web/20151123054953/http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap9.html">The Backhouse constant</a>. %H A072508 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BackhousesConstant.html">Backhouse's Constant</a>. %e A072508 1.4560749485826896713995953... %t A072508 RealDigits[-1/x /. FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 1000}], {x, {0, 1}}, WorkingPrecision -> 100]][[1]] (* _T. D. Noe_, corrected Apr 26 2013 *) %Y A072508 Continued fraction is in A074269. %Y A072508 Cf. A030010, A088751, A247818. %K A072508 cons,nonn %O A072508 1,2 %A A072508 _Robert G. Wilson v_, Aug 03 2002