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A245781
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Decimal expansion of the infinite product of (j/Pi)*sin(Pi/j), for j >= 2, a constant similar to the Kepler-Bouwkamp constant.
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0
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3, 2, 8, 7, 0, 9, 6, 9, 1, 6, 8, 5, 6, 6, 3, 9, 3, 0, 3, 6, 2, 5, 9, 7, 6, 7, 0, 2, 3, 8, 3, 9, 6, 4, 3, 4, 0, 2, 0, 9, 9, 7, 6, 3, 8, 5, 5, 5, 8, 9, 8, 1, 2, 8, 8, 3, 0, 0, 3, 1, 8, 5, 4, 3, 5, 4, 7, 2, 1, 3, 5, 2, 6, 8, 4, 4, 0, 5, 9, 9, 7, 8, 9, 5, 5, 5, 3, 9, 0, 6, 2, 5, 7, 6, 7, 9, 9, 5, 6, 4, 4, 7
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 6.3 Kepler-Bouwkamp constant, p. 428.
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LINKS
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FORMULA
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exp( -sum_{k >= 1} zeta(2*k)*(zeta(2*k)-1)/k ).
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EXAMPLE
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0.32870969168566393036259767023839643402099763855589812883...
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MATHEMATICA
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digits = 102; Exp[-NSum[Zeta[2*k]*(Zeta[2*k]-1)/k, {k, 1, Infinity}, NSumTerms -> 200, WorkingPrecision -> digits+10]] // RealDigits[#, 10, digits]& // First
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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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