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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
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
Sequence in context: A243396 A140243 A366872 * A199289 A306341 A306654
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.)