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

1, 1, 1, 1, 25, 49, 441, 1089, 184041, 511225, 5909761, 17631601, 863948449, 2704312009, 34493775625, 111759833025, 93990019574025, 312541206957225, 4201942893536025, 14258670483605625, 780804795682244025

Offset: 0

Author

Eric W. Weisstein

Keywords

• nonn
• frac

Comments

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

Links

• Eric Weisstein's World of Mathematics, Gauss-Kummer Series.
• Eric Weisstein's World of Mathematics, Ellipse.

Crossrefs

Cf. A002596, A056982.

Programs

Mathematica

Numerator[Table[Binomial[1/2, n]^2, {n, 50}]] (* Artur Jasinski, Aug 30 2016 *)

Extensions

New description from N. J. A. Sloane, Feb 18 2004