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 A138551 #10 May 10 2019 04:33:27 %S A138551 1,0,2,0,23,0,684,0,34760,0,2493096,0,228253267,0,25091028820,0, %T A138551 3179942075960,0,451649016238160,0,70421753109861592,0, %U A138551 11869050034269797984,0,2136758627313217104448,0 %N A138551 Moment sequence of t^3 coefficient in det(tI-A) for random matrix A in USp(6). %C A138551 Let the random variable X be the coefficient of t^3 in the characteristic polynomial det(tI-A) of a random matrix in USp(6) (6x6 complex matrices that are unitary and symplectic). Then a(n) = E[X^n]. %C A138551 Let L_p(T) be the L-polynomial (numerator of the zeta function) of a genus 3 curve C. Under a generalized Sato-Tate conjecture, for almost all C, a(n) is the n-th moment of the coefficient of t^3 in L_p(t/sqrt(p)), as p varies. %H A138551 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 A138551 See Prop. 12 of Kedlaya-Sutherland. %e A138551 a(4) = 23 because E[X^4] = 23 for X the t^3 coeff of det(tI-A) in USp(6). %Y A138551 Cf. A138540, A138549. %K A138551 nonn %O A138551 0,3 %A A138551 _Andrew V. Sutherland_, Mar 24 2008