

A091994


Numerator of I(n) = sqrt(10)*(Integral_{x=0 to 1/3} 1/(1+x^2)^(n+1/2) dx).


1



1, 29, 1403, 95115, 8298105, 885611805, 111797745795, 16298030927115, 2694941727973425, 498439798319375325, 101970858789466224075, 22865056868419298361675, 5576927510911134523293225
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OFFSET

1,2


COMMENTS

The denominator is b(n) = 10^(n1)*(2*n)!/(n!*2^n).


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..100


EXAMPLE

The third term is 1403 since I(3) = 1403/1500.


MATHEMATICA

Table[ Sqrt[10]*10^(n  1)*(2*n)!/(n!*2^n)*Integrate[1/(1 + x^2)^(n + 1/2), {x, 0, 1/3}], {n, 14}] (* Robert G. Wilson v, Apr 23 2004 *)


CROSSREFS

Sequence in context: A290022 A191968 A049657 * A126555 A028478 A042627
Adjacent sequences: A091991 A091992 A091993 * A091995 A091996 A091997


KEYWORD

nonn


AUTHOR

Al Hakanson (hawkuu(AT)excite.com), Mar 17 2004


EXTENSIONS

Edited by Robert G. Wilson v, Apr 23 2004


STATUS

approved



