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 A265300 Decimal expansion of Sum_{k>=1} (x-c(2k-1)), where c = convergents to (x = sqrt(6)). 4
 4, 5, 4, 5, 8, 7, 1, 1, 3, 0, 6, 5, 0, 7, 2, 4, 7, 4, 9, 9, 8, 9, 7, 8, 3, 3, 0, 8, 0, 9, 5, 4, 3, 0, 1, 3, 3, 2, 5, 0, 8, 5, 3, 9, 7, 8, 3, 5, 3, 3, 9, 5, 4, 2, 6, 8, 1, 3, 8, 8, 7, 2, 6, 3, 3, 6, 6, 4, 0, 3, 9, 0, 4, 6, 5, 0, 4, 3, 5, 4, 0, 9, 4, 4, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS EXAMPLE sum = 0.454587113065072474998978330809543013325085397... MATHEMATICA x = Sqrt[6]; z = 600; c = Convergents[x, z]; s1 = Sum[x - c[[2 k - 1]], {k, 1, z/2}]; N[s1, 200] s2 = Sum[c[[2 k]] - x, {k, 1, z/2}]; N[s2, 200] N[s1 + s2, 200] RealDigits[s1, 10, 120][[1]]  (* A265300 *) RealDigits[s2, 10, 120][[1]]  (* A265301 *) RealDigits[s1 + s2, 10, 120][[1]](* A265302 *) CROSSREFS Cf. A010464, A265301, A265302, A265288 (guide). Sequence in context: A245078 A276868 A182495 * A223170 A303275 A198817 Adjacent sequences:  A265297 A265298 A265299 * A265301 A265302 A265303 KEYWORD nonn,cons AUTHOR Clark Kimberling, Dec 13 2015 STATUS approved

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Last modified August 5 19:40 EDT 2021. Contains 346488 sequences. (Running on oeis4.)