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A242713
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Decimal expansion of C_5, a constant related to sharp inequalities for the product of 5 polynomials, which was introduced by David Boyd.
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3
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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
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OFFSET
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1,2
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 3.10 p. 233.
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LINKS
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FORMULA
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exp(5/Pi*Clausen2(Pi - Pi/5)), where Clausen2 is Clausen's Integral.
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EXAMPLE
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1.967044901088071888351432414582828054693451...
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MATHEMATICA
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Clausen2[x_] := Im[PolyLog[2, Exp[x*I]]]; c[m_] := Exp[m/Pi*Clausen2[Pi - Pi/m]]; RealDigits[c[5], 10, 100] // First
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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