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 A072508 Decimal expansion of Backhouse constant. 7
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - T. D. Noe, Oct 14 2003 LINKS S. R. Finch, Backhouse's constant. 1995 [Cached copy, with permission] Philippe Flajolet, in response to the previous document from S. R. Finch, Backhouse's constant, 1995 S. R. Finch, Kalmar's Composition Constant, Section 5.5 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 292-295, 2003. [Cached copy, with permission] S. R. Finch, Kalmar's composition constant, June 5, 2003. [A different version. Cached copy, with permission of the author] Simon Plouffe, The Backhouse constant Eric Weisstein's World of Mathematics, Backhouse's Constant. EXAMPLE 1.4560749485826896713995953... MATHEMATICA 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 *) CROSSREFS Continued fraction is in A074269. Cf. A030010, A088751, A247818. Sequence in context: A154914 A154916 A077061 * A075566 A076087 A082486 Adjacent sequences:  A072505 A072506 A072507 * A072509 A072510 A072511 KEYWORD cons,nonn,changed AUTHOR Robert G. Wilson v, Aug 03 2002 STATUS approved

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Last modified October 20 08:23 EDT 2019. Contains 328253 sequences. (Running on oeis4.)