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 A343470 Decimal expansion of Sum_{n>=1} ((-1)^(n-1))*arctan(n)/n. 2
 4, 6, 5, 7, 1, 2, 3, 0, 3, 5, 2, 6, 3, 0, 3, 6, 3, 5, 5, 2, 6, 8, 2, 7, 7, 0, 1, 2, 4, 0, 2, 3, 0, 1, 3, 6, 8, 7, 2, 3, 7, 2, 1, 6, 0, 6, 1, 5, 1, 6, 2, 4, 8, 4, 0, 9, 1, 1, 9, 4, 2, 6, 0, 8, 6, 2, 5, 3, 9, 2, 1, 8, 7, 2, 8, 1, 9, 1, 0, 7, 5, 7, 4, 9, 3, 7, 9, 6, 2, 0, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The alternating series test shows the series is convergent. LINKS Table of n, a(n) for n=0..91. Wikipedia, Alternating series test. FORMULA Equals Sum_{n>=1} ((-1)^(n-1))*arctan(n)/n. EXAMPLE 0.46571230352630363552682770124023013687237216061516248... MAPLE evalf(sum(((-1)^(n-1))*arctan(n)/n, n=1..infinity), 120); PROG (PARI) sumalt(n=1, (-1)^(n-1)*atan(n)/n) \\ Michel Marcus, Apr 17 2021 CROSSREFS Cf. A343469, A265011. Sequence in context: A243396 A140243 A366872 * A199289 A306341 A306654 Adjacent sequences: A343467 A343468 A343469 * A343471 A343472 A343473 KEYWORD nonn,cons AUTHOR Bernard Schott, Apr 17 2021 STATUS approved

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Last modified July 19 17:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)