This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 13:26 EST 2019. Contains 329751 sequences. (Running on oeis4.)