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A088751 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). 3
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; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

Table of n, a(n) for n=0..99.

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, {0, 1}}, WorkingPrecision->100]][[1]]

CROSSREFS

Cf. A072508.

Sequence in context: A021597 A169685 A200326 * A153627 A094540 A010724

Adjacent sequences:  A088748 A088749 A088750 * A088752 A088753 A088754

KEYWORD

cons,nonn

AUTHOR

T. D. Noe, Oct 14 2003

STATUS

approved

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Last modified July 29 04:40 EDT 2014. Contains 245018 sequences.