|
| |
|
|
A002297
|
|
Numerator of (2/pi)*Integral_{0..inf} (sin x / x)^n dx.
(Formerly M2262 N0893)
|
|
5
| |
|
|
1, 1, 3, 2, 115, 11, 5887, 151, 259723, 15619, 381773117, 655177, 20646903199, 27085381, 467168310097, 2330931341, 75920439315929441, 12157712239, 5278968781483042969, 37307713155613, 9093099984535515162569
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
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).
|
|
|
LINKS
| T. D. Noe, Table of n, a(n) for n=1..100
|
|
|
EXAMPLE
| 1, 1, 3/4, 2/3, 115/192, 11/20, ...
|
|
|
MATHEMATICA
| a[n_] := Numerator[ (2/Pi)*Integrate[ (Sin[x]/x)^n, {x, 0, Infinity}] ]; Table[ a[n], {n, 1, 21}] (* From Jean-François Alcover, Dec 19 2011 *)
|
|
|
CROSSREFS
| Cf. A002298 (for denominators), A002304, A002305. Essentially the same as A049330, except for the n=4 term.
Sequence in context: A016461 A069576 A109899 * A183270 A152017 A076931
Adjacent sequences: A002294 A002295 A002296 * A002298 A002299 A002300
|
|
|
KEYWORD
| nonn,frac,easy,nice
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
