A358945 Decimal expansion of the positive root of 4*x^2 + x - 1.
3, 9, 0, 3, 8, 8, 2, 0, 3, 2, 0, 2, 2, 0, 7, 5, 6, 8, 7, 2, 7, 6, 7, 6, 2, 3, 1, 9, 9, 6, 7, 5, 9, 6, 2, 8, 1, 4, 3, 3, 9, 9, 9, 0, 3, 1, 7, 1, 7, 0, 2, 5, 5, 4, 2, 9, 9, 8, 2, 9, 1, 9, 6, 6, 3, 6, 8, 6, 9, 2, 9, 3, 2, 9, 2, 2
Offset: 0
Examples
c = 0.39038820320220756872767623199675962814339990317170255429982919663...
Programs
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Mathematica
RealDigits[(Sqrt[17] - 1)/8, 10, 120][[1]] (* Amiram Eldar, Jan 20 2023 *) RealDigits[Root[4x^2+x-1,2],10,120][[1]] (* Harvey P. Dale, Jan 15 2024 *)
Formula
c = 1/phi17 = (-1 + phi17)/4, with phi17 = A222132. - Wolfdieter Lang, Jan 05 2024
Comments