id:A088751 - OEIS Search Results

Search: id:A088751

Displaying 1-1 of 1 results found.

page 1

Decimal expansion of -x, the real root of the equation 0 = 1 + Sum{k=1,infinity} prime(k) x^k. The inverse of Backhouse's constant (A072508).

+0
4

6, 8, 6, 7, 7, 7, 8, 3, 4, 4, 6, 0, 6, 3, 4, 9, 5, 4, 4, 2, 6, 5, 4, 0, 2, 2, 3, 7, 0, 6, 7, 6, 9, 2, 6, 9, 2, 2, 7, 0, 0, 2, 6, 3, 7, 6, 2, 2, 5, 0, 4, 2, 0, 7, 3, 9, 3, 4, 2, 5, 8, 2, 9, 4, 0, 1, 1, 5, 3, 1, 0, 0, 8, 7, 7, 0, 0, 4, 3, 7, 3, 6, 6, 9, 6, 9, 5, 3, 0, 1, 0, 6, 7, 6, 8, 2, 5, 9, 0, 1 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`This constant is computed in Finch's article. This number is easier to compute than Backhouse's constant. Except for an additional term of 0, the continued fraction expansion is the same as Backhouse's constant.`
	LINKS	`S. R. Finch, Kalmar's Composition Constant` `Eric Weisstein's World of Mathematics, Backhouse's Constant`
	EXAMPLE	`0.68677783446063...`
	MATHEMATICA	`RealDigits[ -x/.FindRoot[0==1+Sum[x^n Prime[n], {n, 1000}], {x, {-1, 0}}, WorkingPrecision->100]][[1]]`
	CROSSREFS	`Cf. A072508.` `Sequence in context: A105798 A153755 A021597 this_sequence A153627 A094540 A010724` `Adjacent sequences: A088748 A088749 A088750 this_sequence A088752 A088753 A088754`
	KEYWORD	`cons,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Oct 14 2003`

page 1

Search completed in 0.002 seconds

Last modified November 24 19:42 EST 2009. Contains 167435 sequences.

AT&T Labs Research