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 A016650 Decimal expansion of log(27). 5
 3, 2, 9, 5, 8, 3, 6, 8, 6, 6, 0, 0, 4, 3, 2, 9, 0, 7, 4, 1, 8, 5, 7, 3, 5, 7, 1, 0, 7, 6, 7, 5, 7, 7, 1, 1, 3, 9, 4, 2, 4, 7, 1, 6, 7, 3, 4, 6, 8, 2, 4, 8, 3, 5, 5, 2, 0, 4, 0, 8, 3, 0, 0, 0, 9, 1, 2, 4, 8, 2, 8, 7, 9, 6, 5, 5, 8, 2, 6, 9, 0, 0, 6, 2, 0, 8, 4, 7, 2, 6, 4, 4, 4, 1, 1, 9, 6, 2, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2. LINKS Harry J. Smith, Table of n, a(n) for n = 1..20000 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. Index entries for transcendental numbers FORMULA Log(27) = Integral_{x = 0..oo} sin(4*x)^3/x^2 dx. - Peter Bala, Nov 04 2019 From Peter Bala, Feb 27 2024: (Start) Equals 4 - 2*Sum_{k >= 0} 1/((2*k + 1)*(2*k + 3)*4^k). Continued fraction: 4 - 16/(24 - 96/(84 - 1440/(186 - ... - 16*n*(n + 1)(4*n^2 - 1)/((2*(n + 1)*(10*n + 11)) - ... )))). (End) EXAMPLE 3.295836866004329074185735710767577113942471673468248355204083000912482... - Harry J. Smith, May 20 2009 MATHEMATICA RealDigits[Log[27], 10, 120][[1]] (* Harvey P. Dale, May 07 2012 *) PROG (PARI) default(realprecision, 20080); x=log(27); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016650.txt", n, " ", d)); \\ Harry J. Smith, May 20 2009 CROSSREFS Cf. A016455 (continued fraction). Sequence in context: A251560 A064614 A234747 * A033313 A231442 A319107 Adjacent sequences: A016647 A016648 A016649 * A016651 A016652 A016653 KEYWORD nonn,cons AUTHOR N. J. A. Sloane STATUS approved

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Last modified May 29 07:06 EDT 2024. Contains 372926 sequences. (Running on oeis4.)