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
Offset: 1
Examples
-0.36986874348484794489584877...
Programs
-
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 *)
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.
Comments