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A072508 Decimal expansion of Backhouse constant. 6
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

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 292-295.

LINKS

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.

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. A088751, A247818.

Sequence in context: A154914 A154916 A077061 * A075566 A076087 A082486

Adjacent sequences:  A072505 A072506 A072507 * A072509 A072510 A072511

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Aug 03 2002

STATUS

approved

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Last modified December 8 01:14 EST 2016. Contains 278902 sequences.