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 A101465 Decimal expansion of 2-sqrt(2), square of the edge length of a regular octagon with circumradius 1. 5
 5, 8, 5, 7, 8, 6, 4, 3, 7, 6, 2, 6, 9, 0, 4, 9, 5, 1, 1, 9, 8, 3, 1, 1, 2, 7, 5, 7, 9, 0, 3, 0, 1, 9, 2, 1, 4, 3, 0, 3, 2, 8, 1, 2, 4, 6, 2, 3, 0, 5, 1, 9, 2, 6, 8, 2, 3, 3, 2, 0, 2, 6, 2, 0, 0, 9, 2, 6, 7, 5, 2, 1, 5, 3, 7, 8, 9, 2, 9, 6, 1, 1, 4, 9, 6, 1, 2, 4, 6, 5, 6, 7, 2, 3, 5, 8, 4, 2, 7, 2, 6, 4, 9, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This also equals the probability, for a random walk on the slit plane starting at (1,0), of stopping at the origin. This is the least real number m such that m*(sqrt(ab) + sqrt(bc) + sqrt(ca)) + sqrt(a^2+b^2+c^2) >= a+b+c where a,b,c are positive real numbers with ab+bc+ca > 0. See the Mathematical Reflections link. The asymptotical ratio of odd to even powerful numbers (Srichan, 2020). - Amiram Eldar, Mar 07 2021 The volume of the solid formed by the intersection of 3 right circular unit-diameter cylinders whose axes are mutually orthogonal and intersect at a single point (Moore, 1974). - Amiram Eldar, Nov 22 2021 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 Mireille Bousquet-Mélou and Gilles Schaeffer, Walks on the slit plane, Probability Theory and Related Fields, Vol. 124, No. 3 (2002), pp. 305-344; arXiv preprint, arXiv:0012230 [math.CO], 2000. Mathematical Reflections, Solution to Problem J307, Issue 5, 2014, p. 21. Moreton Moore, Symmetrical Intersections of Right Circular Cylinders, The Mathematical Gazette, Vol. 58, No. 405 (1974), pp. 181-185. Teerapat Srichan, The Odd/Even Dichotomy For The Set Of Square-Full Numbers, Applied Mathematics E-Notes, Vol. 20 (2020), pp. 528-531. Eric Weisstein's World of Mathematics, Octagon. EXAMPLE 0.585786437626904951198311275790301921430328124623051926823320262... MATHEMATICA RealDigits[2 - Sqrt[2], 10, 100][[1]] (* G. C. Greubel, Oct 01 2018 *) PROG (PARI) 2 - sqrt(2) \\ Michel Marcus, Jan 07 2017 (Magma) SetDefaultRealField(RealField(100)); 2 - Sqrt(2); // G. C. Greubel, Oct 01 2018 CROSSREFS Cf. A001694, A002193 (sqrt(2)). Sequence in context: A366163 A358630 A100610 * A010719 A246903 A213022 Adjacent sequences: A101462 A101463 A101464 * A101466 A101467 A101468 KEYWORD cons,nonn AUTHOR Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jan 20 2005 STATUS approved

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)