This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A138546 #17 Jul 25 2019 03:09:26
%S A138546 1,0,4,0,42,0,660,0,12810,0,281736,0,6727644,0,170316432,0,4504487130,
%T A138546 0,123255492360,0,3465702008340,0,99645553785960,0,2918768920720380,0,
%U A138546 86852063374902000,0,2619552500788984200,0,79939673971478231760,0
%N A138546 Moment sequence of tr(A^5) in USp(6).
%C A138546 If A is a random matrix in the compact group USp(6) (6 X 6 complex matrices that are unitary and symplectic), then a(n) = E[(tr(A^5))^n] is the n-th moment of the trace of A^5.
%H A138546 Kiran S. Kedlaya and Andrew V. Sutherland, <a href="http://arXiv.org/abs/0803.4462">Hyperelliptic curves, L-polynomials and random matrices</a>, arXiv:0803.4462 [math.NT], 2008-2010.
%F A138546 mgf is A(z) = det[F_{i+j-2}(z)], 1<=i,j<=3, where F_m(z) = Sum_j binomial(m,j)(B_{(2j-m)/5}(z)-B_{(2j-m+2)/5}(z)) and B_v(z)=0 for non-integer v and otherwise B_v(z)=I_v(2z) with I_v(z) the hyperbolic Bessel function (of the first kind) of order v.
%e A138546 a(4) = 42 because E[(tr(A^5))^4] = 42 for a random matrix A in USp(6).
%Y A138546 Cf. A138540.
%K A138546 nonn
%O A138546 0,3
%A A138546 _Andrew V. Sutherland_, Mar 24 2008