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A093601
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Decimal expansion of constant in Kac's formula.
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0
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6, 2, 5, 7, 3, 5, 8, 0, 7, 2, 0, 5, 2, 7, 0, 0, 1, 9, 0, 4, 6, 4, 7, 4, 6, 9, 1, 8, 0, 3, 2, 8, 6, 0, 2, 8, 8, 7, 8, 1, 2, 9, 1, 8, 0, 3, 1, 4, 2, 2, 6, 2, 6, 4, 2, 8, 2, 8, 9, 7, 2, 1, 5, 8, 6, 8, 6, 0, 5, 4, 8, 3, 6, 8, 2, 4, 6, 3, 3, 4, 8, 0, 0, 5, 9, 3, 6, 0, 2, 2, 6, 0, 6, 0, 4, 4, 2, 9, 6, 8, 3, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Eric Weisstein's World of Mathematics, Kac's Formula
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EXAMPLE
| 0.625735807...
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MATHEMATICA
| (2/Pi)*(Log[2] + NIntegrate[Sqrt[1/x^2 - 4*(Exp[ -2*x]/(1 - Exp[ -2*x])^2)] - 1/(x + 1), {x, 0, Infinity}, WorkingPrecision -> 50, PrecisionGoal -> 20])
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CROSSREFS
| Sequence in context: A074458 A010371 A011489 * A193780 A166200 A120832
Adjacent sequences: A093598 A093599 A093600 * A093602 A093603 A093604
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KEYWORD
| nonn,cons
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004
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