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 A103713 Decimal expansion of the area of the surface generated by revolving about the y-axis that part of the curve y = log x lying in the 4th quadrant. 1
 7, 2, 1, 1, 7, 9, 9, 7, 2, 4, 2, 0, 7, 0, 4, 6, 9, 6, 4, 6, 8, 7, 7, 3, 2, 7, 6, 9, 8, 0, 0, 6, 6, 7, 6, 7, 9, 0, 2, 7, 0, 5, 7, 6, 1, 7, 9, 7, 6, 0, 5, 0, 0, 6, 4, 6, 0, 8, 8, 2, 6, 7, 4, 6, 1, 3, 1, 3, 0, 3, 6, 4, 8, 6, 1, 0, 9, 7, 6, 9, 6, 5, 1, 4, 6, 2, 1, 9, 2, 1, 0, 9, 7, 7, 6, 9, 8, 2, 9, 3, 2, 9, 9, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equal to Pi times its analog for the parabola (see A103710). REFERENCES C. E. Love, Differential and Integral Calculus, 4th ed., Macmillan, 1950, p. 288. S. Reese, A universal parabolic constant, 2004, preprint. LINKS S. R. Finch, Mathematical Constants, addenda, sec. 8.1 S. Reese and J. Sondow, MathWorld: Universal Parabolic Constant Wikipedia, Universal parabolic constant FORMULA Pi*(sqrt(2) + log(1 + sqrt(2))). EXAMPLE 7.2117997242070469646877327698006676790270576179761... MATHEMATICA RealDigits[Pi*(Sqrt[2]+Log[1+Sqrt[2]]), 10, 120][[1]] (* or *) RealDigits[Pi* (Sqrt[2]+ArcSinh[1]), 10, 120][[1]] (* Harvey P. Dale, May 02 2011 *) PROG (PARI) Pi*(sqrt(2) + log(1 + sqrt(2))) \\ Michel Marcus, Jul 06 2015 CROSSREFS Cf. A000796*A103710. See also A103714. Sequence in context: A001204 A177969 A021585 * A197184 A089129 A100957 Adjacent sequences:  A103710 A103711 A103712 * A103714 A103715 A103716 KEYWORD cons,easy,nonn,changed AUTHOR Sylvester Reese and Jonathan Sondow, Feb 21 2005 STATUS approved

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Last modified January 23 19:12 EST 2020. Contains 331175 sequences. (Running on oeis4.)