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A061382
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Decimal expansion of Pi/e.
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14
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1, 1, 5, 5, 7, 2, 7, 3, 4, 9, 7, 9, 0, 9, 2, 1, 7, 1, 7, 9, 1, 0, 0, 9, 3, 1, 8, 3, 3, 1, 2, 6, 9, 6, 2, 9, 9, 1, 2, 0, 8, 5, 1, 0, 2, 3, 1, 6, 4, 4, 1, 5, 8, 2, 0, 4, 9, 9, 7, 0, 6, 5, 3, 5, 3, 2, 7, 2, 8, 8, 6, 3, 1, 8, 4, 0, 9, 1, 6, 9, 3, 9, 4, 4, 0, 1, 8, 8, 4, 3, 4, 2, 3, 5, 6, 7, 3, 5, 5, 8, 8, 0, 4, 4, 8
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OFFSET
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1,3
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REFERENCES
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Paul J. Nahin, "An Imaginary Tale, The Story of [Sqrt(-1)]," Princeton University Press, Princeton, NJ 1998, p. 188.
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 1..20000
Solution of Problem 11771, The American Mathematical Monthly, 121 (2014).
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FORMULA
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Equals A000796 / A001113.
Equals Integral_{-oo..oo} cos(x)/(1 + x^2) dx. - Robert G. Wilson v
Equals Integral_{-oo..oo} cos(x)/(1 + x^2)^2 dx. - Amiram Eldar, Jul 21 2020
From Robert FERREOL, Apr 02 2022: (Start)
Equals Integral_{-oo..oo} x*sin(x)/(1 + x^2) dx.
Equals 2*Integral_{-oo..oo} x*sin(x)/(1 + x^2)^2 dx. (End)
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EXAMPLE
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Pi/e ~= 1.15572734979092171791009318331269629912...
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MATHEMATICA
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RealDigits[ Pi/E, 10, 110][[1]] (* Or *) RealDigits[ Integrate[ Cos[x]/(1 + x^2), {x, -Infinity, Infinity}], 10, 111][[1]] (* Robert G. Wilson v Jan 15 2004 *)
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PROG
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(PARI) { default(realprecision, 20080); x=Pi/exp(1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b061382.txt", n, " ", d)) } \\ Harry J. Smith, Jul 22 2009
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CROSSREFS
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Cf. A061666 (continued fraction for Pi/e).
Cf. A001113, A000796.
Sequence in context: A249649 A226571 A274030 * A113272 A222392 A049471
Adjacent sequences: A061379 A061380 A061381 * A061383 A061384 A061385
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KEYWORD
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cons,nonn
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AUTHOR
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Jason Earls, Jun 08 2001
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STATUS
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approved
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