This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A065478 Decimal expansion of product(1 - p/(p^3-1)), p prime >= 2). 1
 5, 7, 5, 9, 5, 9, 9, 6, 8, 8, 9, 2, 9, 4, 5, 4, 3, 9, 6, 4, 3, 1, 6, 3, 3, 7, 5, 4, 9, 2, 4, 9, 6, 6, 9, 2, 5, 0, 6, 5, 1, 3, 9, 6, 7, 1, 7, 6, 4, 9, 2, 3, 6, 3, 6, 0, 0, 6, 4, 0, 7, 9, 8, 6, 6, 5, 3, 7, 2, 5, 5, 1, 6, 9, 8, 8, 6, 8, 5, 2, 8, 4, 3, 6, 4, 0, 9, 8, 7, 2, 0, 9, 1, 7, 2, 6, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Yilan Hu and Carl Pomerance, The average order of elements in the multiplicative group of a finite field, involve, Vol. 5 (2012), No. 2, 229-236. See p. 8. Sungjin Kim, Average Results on the Order of a modulo p, arXiv:1509.01752 [math.NT], 2015. P. Kurlberg, C. Pomerance, On a Problem of Arnold: the average multiplicative order of a given integer, Algebra and Number Theory, 7 (2013), pp. 981-999. G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy] P. J. Stephens, Prime divisors of second-order linear recurrences. I, , J. Number Theory, 8(3):313-332, 1976. Eric Weisstein's World of Mathematics, Stephens' Constant EXAMPLE 0.57595996889294543964316337549249669... MATHEMATICA \$MaxExtraPrecision = 100; m0 = 200; dm = 200; digits = 101; Clear[f]; f[m_] := f[m] = (slog = Normal[Series[Log[1 - p/(p^3 - 1)], {p, Infinity, m}]]; Exp[slog] /. Power[p, n_] -> PrimeZetaP[-n] // N[#, digits+10]&); f[m = m0]; Print[m, " ", f[m]]; f[m = m + dm]; While[Print[m, " ", f[m]]; RealDigits[f[m], 10, digits+5] != RealDigits[f[m - dm], 10, digits+5], m = m + dm]; RealDigits[f[m], 10, digits] // First (* Jean-François Alcover, Sep 15 2015 *) CROSSREFS Cf. A078079. Sequence in context: A217167 A195498 A065746 * A109353 A247827 A205694 Adjacent sequences:  A065475 A065476 A065477 * A065479 A065480 A065481 KEYWORD cons,nonn AUTHOR N. J. A. Sloane, Nov 19 2001 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 23 21:46 EST 2017. Contains 295141 sequences.