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Numerators of coefficient of x^(n+1/2) in the series expansion of the haversine.
1

%I #5 Aug 15 2015 09:40:46

%S 2,1,3,5,35,63,231,143,6435,12155,46189,88179,676039,1300075,5014575,

%T 9694845,100180065,116680311,2268783825,1472719325,34461632205,

%U 67282234305,17534158031,514589420475,8061900920775,5267108601573

%N Numerators of coefficient of x^(n+1/2) in the series expansion of the haversine.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/InverseHaversine.html">Inverse Haversine</a>

%e 2*sqrt(z) + z^(3/2)/3 + (3*z^(5/2))/20 + (5*z^(7/2))/56 + (35*z^(9/2))/576 + ...

%Y Cf. A143582.

%Y Cf. A055786. - _R. J. Mathar_, Sep 05 2008

%K nonn,frac

%O 1,1

%A _Eric W. Weisstein_, Aug 24 2008