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A089252 a(n) = ((2*n-1)!!/sqrt(3))*(integral_{x=0..sqrt(3/4)} 1/(1-x^2)^(n+1/2) dx). 1
1, 6, 72, 1392, 38016, 1347840, 58752000, 3036579840, 181428387840, 12299042488320, 932514044313600, 78184097316864000, 7181946863065497600, 717283471185779097600, 77383645289778040012800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

FORMULA

E.g.f.: (sqrt(3)/3)*arccot(sqrt(3-24*x)/3). a(n+1) = 2^n*n!*A006134(n). - Description corrected by Vladeta Jovovic, Dec 14 2003

MATHEMATICA

f[n_] := Simplify[(2n - 1)!!/Sqrt[3]* Integrate[1/(1 - x^2)^(n + 1/2), {x, 0, Sqrt[3/4]}]]; Table[ f[n], {n, 1, 16}] (* Robert G. Wilson v, Feb 27 2004 *)

CROSSREFS

Sequence in context: A003235 A113133 A302355 * A052730 A010796 A038095

Adjacent sequences:  A089249 A089250 A089251 * A089253 A089254 A089255

KEYWORD

nonn

AUTHOR

Al Hakanson (hawkuu(AT)excite.com), Dec 12 2003

EXTENSIONS

More terms from Robert G. Wilson v, Feb 27 2004

STATUS

approved

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Last modified September 17 08:57 EDT 2019. Contains 327128 sequences. (Running on oeis4.)