A091994 Numerator of I(n) = sqrt(10)*(Integral_{x=0 to 1/3} 1/(1+x^2)^(n+1/2) dx).

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

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 A370679

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