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 A265306 Decimal expansion of Sum_{k>=1} (e-c(2k-1)), where c = convergents to e. 4
 7, 7, 4, 2, 2, 8, 5, 8, 9, 2, 0, 8, 2, 1, 9, 6, 2, 0, 5, 5, 2, 9, 3, 3, 9, 6, 8, 9, 4, 0, 5, 9, 3, 6, 3, 8, 3, 7, 2, 4, 3, 7, 6, 3, 7, 2, 4, 2, 9, 7, 3, 9, 1, 6, 2, 1, 6, 1, 3, 2, 5, 9, 4, 2, 0, 3, 4, 3, 2, 8, 6, 6, 9, 8, 6, 7, 5, 3, 2, 4, 8, 4, 0, 8, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS EXAMPLE sum = 0.77422858920821962055293396894059363837243763724297... MATHEMATICA x = E; 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]]  (* A265306 *) RealDigits[s2, 10, 120][[1]]  (* A265307 *) RealDigits[s1 + s2, 10, 120][[1]](* A265308 *) CROSSREFS Cf. A001113, A265306, A265307, A265288 (guide). Sequence in context: A097903 A221566 A064619 * A198544 A247274 A086315 Adjacent sequences:  A265303 A265304 A265305 * A265307 A265308 A265309 KEYWORD nonn,cons AUTHOR Clark Kimberling, Dec 13 2015 STATUS approved

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Last modified September 20 10:18 EDT 2021. Contains 347584 sequences. (Running on oeis4.)