id:A072508 - OEIS Search Results

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Decimal expansion of Backhouse constant.

+0
5

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; cons; graph; listen)

	OFFSET	`1,2`
	COMMENT	`The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - T. D. Noe (noe(AT)sspectra.com), Oct 14 2003`
	REFERENCES	`S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 292-295.`
	LINKS	`S. R. Finch, Existence of Backhouse's Constant` `S. R. Finch, Kalmar's Composition Constant` `Simon Plouffe, The Backhouse constant` `Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	EXAMPLE	`1.4560749485826896713995953...`
	MATHEMATICA	`RealDigits[ -1/x/.FindRoot[0==1+Sum[x^n Prime[n], {n, 1000}], {x, {-1, 0}}, WorkingPrecision->100]][[1]] (from T. D. Noe)`
	CROSSREFS	`Continued fraction is in A074269.` `Cf. A088751.` `Sequence in context: A154914 A154916 A077061 this_sequence A075566 A076087 A082486` `Adjacent sequences: A072505 A072506 A072507 this_sequence A072509 A072510 A072511`
	KEYWORD	`cons,nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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