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A072508
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Decimal expansion of Backhouse constant.
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6
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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
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OFFSET
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1,2
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COMMENTS
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The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - T. D. Noe, Oct 14 2003
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 292-295.
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LINKS
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Table of n, a(n) for n=1..105.
S. R. Finch, Existence of Backhouse's Constant (requires access permission)
S. R. Finch, Kalmar's Composition Constant
Simon Plouffe, The Backhouse constant
Eric Weisstein's World of Mathematics, Backhouse's Constant.
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EXAMPLE
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1.4560749485826896713995953...
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MATHEMATICA
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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 *)
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CROSSREFS
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Continued fraction is in A074269.
Cf. A088751, A247818.
Sequence in context: A154914 A154916 A077061 * A075566 A076087 A082486
Adjacent sequences: A072505 A072506 A072507 * A072509 A072510 A072511
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v, Aug 03 2002
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STATUS
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approved
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