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 A248617 Decimal expansion of the solution when Gudermannian(x) equals 1. 1
 1, 2, 2, 6, 1, 9, 1, 1, 7, 0, 8, 8, 3, 5, 1, 7, 0, 7, 0, 8, 1, 3, 0, 6, 0, 9, 6, 7, 4, 7, 1, 9, 0, 6, 7, 5, 2, 7, 2, 4, 2, 4, 8, 3, 5, 0, 2, 2, 0, 7, 4, 0, 2, 7, 9, 1, 3, 8, 6, 1, 6, 8, 4, 3, 5, 4, 2, 9, 8, 4, 6, 7, 6, 2, 4, 4, 2, 8, 0, 3, 8, 1, 6, 9, 2, 3, 7, 4, 2, 5, 6, 3, 7, 7, 9, 6, 6, 0, 9, 5, 3, 3, 4, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Inverse of A248618. LINKS Table of n, a(n) for n=1..105. Wikipedia, Gudermannian function. FORMULA Equals log(tan((2+Pi)/4)). - Vaclav Kotesovec, Oct 11 2014 From Amiram Eldar, Apr 07 2022: (Start) Equals 2*arctanh(tan(1/2)). Equals Integral_{x=0..1} sec(x) dx. (End) EXAMPLE 1.22619117088351707081306096747190675272424835022074027913861684354298467624428... MAPLE evalf(log(tan((2+Pi)/4)), 100) # Vaclav Kotesovec, Oct 11 2014 MATHEMATICA RealDigits[ InverseGudermannian[ 1], 10, 111][[1]] CROSSREFS Cf. A248618. Sequence in context: A155818 A010245 A154196 * A225975 A016529 A077894 Adjacent sequences: A248614 A248615 A248616 * A248618 A248619 A248620 KEYWORD nonn,cons AUTHOR Robert G. Wilson v, Oct 09 2014 STATUS approved

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Last modified April 23 16:28 EDT 2024. Contains 371916 sequences. (Running on oeis4.)