OFFSET
0,3
COMMENTS
LINKS
Kiran S. Kedlaya and Andrew V. Sutherland, Hyperelliptic curves, L-polynomials and random matrices, arXiv:0803.4462 [math.NT], 2008-2010.
FORMULA
a(n) = (1/2)Integral_{x=0..Pi,y=0..Pi}(2cos(4x)+2cos(4y)+1)^n(2cos(x)-2cos(y))^2(2/Pi*sin^2(x))(2/Pi*sin^2(y))dxdy.
a(n) = Sum_{i=0..n} (-1)^i binomial(n,i)*A018224(i). [corrected by Jean-François Alcover, Aug 13 2018]
EXAMPLE
MATHEMATICA
a18224[n_] := Binomial[n, Floor[n/2]]^2;
a[n_] := Sum[(-1)^i Binomial[n, i] a18224[i], {i, 0, n}];
Table[a[n], {n, 0, 24}] (* Jean-François Alcover, Aug 13 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrew V. Sutherland, Mar 16 2008, Mar 31 2008
STATUS
approved