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A002298
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Denominator of (2/pi)*Integral_{0..inf} (sin x / x)^n dx.
(Formerly M3217 N1303)
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5
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1, 1, 4, 3, 192, 20, 11520, 315, 573440, 36288, 928972800, 1663200, 54499737600, 74131200, 1322526965760, 6810804000, 228532659683328000, 37638881280, 16783438527143608320, 121645100408832, 30370031620545576960000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| 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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..100
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EXAMPLE
| 1, 1, 3/4, 2/3, 115/192, 11/20, ...
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MATHEMATICA
| Denominator[Table[2/Pi Integrate[(Sin[x]/x)^n, {x, 0, \[Infinity]}], {n, 25}]] (* From Harvey P. Dale, Sep 04 2011 *)
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CROSSREFS
| Cf. A002297, A002304, A002305. Except for the n=4 term, equal to A049331/2.
Sequence in context: A016504 A013335 A079324 * A195565 A197243 A175372
Adjacent sequences: A002295 A002296 A002297 * A002299 A002300 A002301
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KEYWORD
| nonn,frac,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Corrected and extended by Barbara Haas Margolius (margolius(AT)math.csuohio.edu) 2/12/01
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