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 A242713 Decimal expansion of C_5, a constant related to sharp inequalities for the product of 5 polynomials, which was introduced by David Boyd. 3
 1, 9, 6, 7, 0, 4, 4, 9, 0, 1, 0, 8, 8, 0, 7, 1, 8, 8, 8, 3, 5, 1, 4, 3, 2, 4, 1, 4, 5, 8, 2, 8, 2, 8, 0, 5, 4, 6, 9, 3, 4, 5, 1, 3, 8, 7, 7, 1, 2, 7, 5, 8, 1, 5, 6, 6, 4, 2, 0, 8, 4, 3, 8, 7, 0, 3, 6, 4, 0, 2, 9, 2, 7, 3, 0, 3, 9, 5, 2, 6, 8, 1, 2, 6, 3, 1, 4, 1, 8, 3, 9, 4, 3, 5, 2, 1, 2, 1, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 3.10 p. 233. LINKS David W. Boyd, Sharp inequalities for the product of polynomials Eric Weisstein's MathWorld, Clausen's Integral FORMULA exp(5/Pi*Clausen2(Pi - Pi/5)), where Clausen2 is Clausen's Integral. EXAMPLE 1.967044901088071888351432414582828054693451... MATHEMATICA Clausen2[x_] := Im[PolyLog[2, Exp[x*I]]]; c[m_] := Exp[m/Pi*Clausen2[Pi - Pi/m]]; RealDigits[c[5], 10, 100] // First PROG (PARI) exp(5*imag(polylog(2, exp(4*I*Pi/5)))/Pi) \\ Charles R Greathouse IV, Jul 15 2014 CROSSREFS Cf. A130834 (C_2), A242711 (C_3), A242712 (C_4), A242714 (C_6). Sequence in context: A195365 A092513 A260315 * A155129 A254980 A318336 Adjacent sequences:  A242710 A242711 A242712 * A242714 A242715 A242716 KEYWORD nonn,cons AUTHOR Jean-François Alcover, May 21 2014 STATUS approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)