A114041 - OEIS

A114041

Decimal expansion of -x, the real root of the power series with semiprime coefficients.

3, 6, 9, 8, 6, 8, 7, 4, 3, 4, 8, 4, 8, 4, 7, 9, 4, 4, 8, 9, 5, 8, 4, 8, 7, 7, 0, 2, 9, 5, 9, 4, 8, 1, 8, 7, 4, 3, 2, 7, 8, 7, 2, 0, 9, 7, 9, 6, 5, 6, 8, 5, 8, 7, 3, 7, 5, 5, 8, 7, 2, 2, 6, 6, 0, 4, 5, 3, 4, 5, 8, 6, 0, 3, 2, 0, 9, 6, 4, 8, 4, 8, 5, 2, 1, 2, 8, 4, 5, 3, 3, 9, 5, 2, 3, 7, 1, 8, 2

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

This is the semiprime analog of A088751.

Terms computed by T. D. Noe.

LINKS

Table of n, a(n) for n=1..99.

FORMULA

Digits of -x where x is the real root of 1 + 4x + 6x^2 + 9x^3 + 10x^4 + 14x^5 ... = 1 + Sum_{i>=1} A001358(i)*x^i.

EXAMPLE

-0.36986874348484794489584877...

MATHEMATICA

A001358:= Select[Range[3000], PrimeOmega[#] == 2 &]; RealDigits[-x/.FindRoot[-1 == Sum[A001358[[j]]*x^j, {j, 500}], {x, {0, 0.5}}, WorkingPrecision -> 105], 10, 100][[1]]//First (* G. C. Greubel, Dec 31 2019 *)

CROSSREFS

Cf. A001358, A072508, A088751.

Sequence in context: A187082 A137991 A021077 * A212712 A360049 A325750

Adjacent sequences: A114038 A114039 A114040 * A114042 A114043 A114044

KEYWORD

cons,nonn

AUTHOR

Jonathan Vos Post, Feb 01 2006

STATUS

approved