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Search: id:A002297
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| A002297 |
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Numerator of (2/pi)*Integral_{0..inf} (sin x / x)^n dx.
(Formerly M2262 N0893)
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+0
5
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| 1, 1, 3, 2, 115, 11, 5887, 151, 259723, 15619, 381773117, 655177, 20646903199, 27085381, 467168310097, 2330931341, 75920439315929441, 12157712239, 5278968781483042969, 37307713155613, 9093099984535515162569
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
A. H. R. Grimsey, On the accumulation of chance effects and the Gaussian frequency distribution, Phil. Mag., 36 (1945), 294-295.
R. G. Medhurst and J. H. Roberts, Evaluation of the integral I_n(b) = (2/pi)*Integral_{0..inf} (sin x / x)^n cos (bx) dx, Math. Comp., 19 (1965), 113-117.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
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EXAMPLE
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1, 1, 3/4, 2/3, 115/192, 11/20, ...
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CROSSREFS
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Cf. A002298 (for denominators), A002304, A002305. Essentially the same as A049330, except for the n=4 term.
Sequence in context: A016461 A069576 A109899 this_sequence A152017 A076931 A076932
Adjacent sequences: A002294 A002295 A002296 this_sequence A002298 A002299 A002300
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KEYWORD
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nonn,frac,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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