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A093601 Decimal expansion of constant in Kac's formula. +0
1
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; cons; graph; listen)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Kac's Formula

EXAMPLE

0.625735807...

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])

CROSSREFS

Sequence in context: A074458 A010371 A011489 this_sequence A166200 A120832 A021988

Adjacent sequences: A093598 A093599 A093600 this_sequence A093602 A093603 A093604

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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