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 A265305 Decimal expansion of Sum_{k>=1} (c(2k)-c(2k-1)), where c = convergents to sqrt(8). 4
 1, 0, 3, 4, 3, 4, 8, 4, 4, 0, 4, 4, 1, 3, 4, 3, 7, 7, 2, 4, 3, 9, 9, 2, 8, 7, 0, 4, 6, 7, 7, 3, 3, 8, 4, 7, 2, 2, 1, 1, 0, 4, 2, 7, 1, 4, 6, 9, 9, 9, 4, 2, 1, 0, 7, 0, 9, 4, 3, 8, 3, 3, 2, 7, 4, 7, 4, 3, 7, 9, 7, 1, 7, 6, 4, 6, 6, 0, 6, 1, 7, 0, 5, 9, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE sum = 1.0343484404413437724399287046773384722110427146999... MATHEMATICA x = Sqrt[8]; 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]] (* A265303 *) RealDigits[s2, 10, 120][[1]] (* A265304 *) RealDigits[s1 + s2, 10, 120][[1]](* A265305 *) CROSSREFS Cf. A010466, A265303, A265304, A265288 (guide). Sequence in context: A178152 A006984 A087275 * A072942 A025267 A223169 Adjacent sequences: A265302 A265303 A265304 * A265306 A265307 A265308 KEYWORD nonn,cons AUTHOR Clark Kimberling, Dec 13 2015 STATUS approved

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Last modified February 7 09:43 EST 2023. Contains 360115 sequences. (Running on oeis4.)