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A056981 a(n) = A002596(n)^2. 1

%I #15 Sep 17 2016 00:22:49

%S 1,1,1,1,25,49,441,1089,184041,511225,5909761,17631601,863948449,

%T 2704312009,34493775625,111759833025,93990019574025,312541206957225,

%U 4201942893536025,14258670483605625,780804795682244025

%N a(n) = A002596(n)^2.

%C Numerator of h^(2n) in the Kummer-Gauss series for the perimeter of an ellipse.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Gauss-KummerSeries.html">Gauss-Kummer Series.</a>

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

%t Numerator[Table[Binomial[1/2, n]^2, {n, 50}]] (* _Artur Jasinski_, Aug 30 2016 *)

%Y Cf. A002596, A056982.

%K nonn,frac

%O 0,5

%A _Eric W. Weisstein_

%E New description from _N. J. A. Sloane_, Feb 18 2004

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)