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%I #45 Aug 08 2020 08:27:22
%S 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 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 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 Decimal expansion of Backhouse constant.
%C The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - _T. D. Noe_, Oct 14 2003
%H S. R. Finch, <a href="/A104225/a104225.pdf">Backhouse's constant</a>. 1995 [Cached copy, with permission]
%H Philippe Flajolet, in response to the previous document from S. R. Finch, <a href="/A104225/a104225.txt">Backhouse's constant</a>, 1995
%H 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 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 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BackhousesConstant.html">Backhouse's Constant.</a>
%e 1.4560749485826896713995953...
%t 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 Continued fraction is in A074269.
%Y Cf. A030010, A088751, A247818.
%K cons,nonn
%O 1,2
%A _Robert G. Wilson v_, Aug 03 2002
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