|
Search: id:A049330
|
|
|
| A049330 |
|
Numerator of (1/pi)*Integral_{0..inf} (sin x / x)^n dx. |
|
+0
4
|
|
| 1, 1, 3, 1, 115, 11, 5887, 151, 259723, 15619, 381773117, 655177, 20646903199, 27085381, 467168310097, 2330931341, 75920439315929441, 12157712239, 5278968781483042969, 37307713155613, 9093099984535515162569
(list; graph; listen)
|
|
|
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.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Sinc Function
|
|
EXAMPLE
|
1/2, 1/2, 3/8, 1/3, 115/384, 11/40, ...
|
|
CROSSREFS
|
Cf. A049331. Same as A002297 except for n=4 term. Cf. also A002304, A002305.
Sequence in context: A082525 A016482 A071291 this_sequence A068542 A036112 A134884
Adjacent sequences: A049327 A049328 A049329 this_sequence A049331 A049332 A049333
|
|
KEYWORD
|
nonn,frac,easy,nice
|
|
AUTHOR
|
njas, Mark S. Riggs (msr1(AT)ra.msstate.edu)
|
|
|
Search completed in 0.002 seconds
|
