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A002305 Denominators of coefficients in asymptotic expansion of (2/pi)*Integral_{0..inf} (sin x / x)^n dx.
(Formerly M5106 N2211)
+0
6
1, 20, 1120, 3200, 3942400, 66560000, 10035200000 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

David H. Bailey and Jonathan M. Borwein, Experimental computation with oscillatory integrals, Comtemp. Math., to appear, 2009. [Added by njas, Nov 02 2009]

CROSSREFS

Cf. A002304, A002297, A002298.

Sequence in context: A138915 A006427 A072962 this_sequence A091535 A152130 A151625

Adjacent sequences: A002302 A002303 A002304 this_sequence A002306 A002307 A002308

KEYWORD

nonn,frac,more,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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