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A086237
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Decimal expansion of Porter's Constant.
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1
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1, 4, 6, 7, 0, 7, 8, 0, 7, 9, 4, 3, 3, 9, 7, 5, 4, 7, 2, 8, 9, 7, 7, 9, 8, 4, 8, 4, 7, 0, 7, 2, 2, 9, 9, 5, 3, 4, 4, 9, 9, 0, 3, 3, 2, 2, 4, 1, 4, 8, 8, 7, 7, 7, 7, 3, 9, 9, 6, 8, 5, 8, 1, 7, 6, 1, 6, 6, 0, 6, 7, 4, 4, 3, 2, 9, 0, 4, 4, 8, 0, 8, 4, 3, 0, 3, 6, 9, 3, 2, 7, 5, 1, 1, 1, 7, 4, 0, 1, 5, 2, 1, 2, 6, 6
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 6*ln2/Pi^2 (3*ln2 + 4 Gamma - 24/Pi^2*Zeta'(2) - 2)
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REFERENCES
| S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, p. 157
Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 113.
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LINKS
| Eric Weisstein's World of Mathematics, Porter's Constant
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EXAMPLE
| 1.4670...
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MATHEMATICA
| (* first do *) Needs["NumericalMath`NLimit`"], (* then *) RealDigits[ N[ Log[64] / Pi^2(Log[8] + 4EulerGamma - 24/Pi^2 ND[ Zeta[z], z, 2, WorkingPrecision -> 200, Scale -> 10^-20, Terms -> 20] - 2) - 1/2, 111]][[1]] (from EWW May 20 2004)
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CROSSREFS
| Sequence in context: A082237 A042976 A090142 * A200410 A136323 A135798
Adjacent sequences: A086234 A086235 A086236 * A086238 A086239 A086240
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KEYWORD
| nonn,cons
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jul 12, 2003
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