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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The denominator is b(n) = 10^(n-1)*(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

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Last modified June 18 08:40 EDT 2021. Contains 345098 sequences. (Running on oeis4.)