%I #23 Mar 06 2023 20:33:46

%S 1,653772070,46535238000235,321298267540551700,803475280086029066515,

%T 1146456994425541774291534,1149330973559307337432235521,

%U 906467723949073501017465886864,602297594518030428986818986545686,352513571679334580855533139395470836

%N Coefficients of Jacobi elliptic function c(9,m).

%H A. Fransen, <a href="http://dx.doi.org/10.1090/S0025-5718-1981-0628708-X">Conjectures on the Taylor series expansion coefficients of the Jacobian elliptic function sn(n,k)</a>, Math. Comp., 37 (1981), 475-497.

%F a(n) = T(2*n+1,0,9) where T(1,0,0) = 1; T(n,i,j) = 0 if i+j < 0 or i+j > n/2; T(2*n,i,j) = (2*j+1) * T(2*n-1,i,j) + (2*i+2) * T(2*n-1,i+1,j-1) + (2*n-2*i-2*j+1) * T(2*n-1,i,j-1), and T(2*n+1,i,j) = (2*i+1) * T(2*n-1,i,j) + (2*j+2) * T(2*n,i-1,j+1) + (2*n-2*i-2*j+2) * T(2*n-1,i-1,j). - _Sean A. Irvine_, Jun 20 2020

%Y Cf. A060628 (9th lower diagonal).

%K nonn

%O 9,2

%A _Simon Plouffe_

%E Offset corrected and more terms from _Sean A. Irvine_, Jun 20 2020