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A032431 Coefficients of Jacobi elliptic function c(8,m). 0

%I

%S 1,72641337,1859539731885,6460701405171285,9412382749388124015,

%T 8470841585571575617239,5632500127524872577252027,

%U 3051808875538951440990525939,1429953329302734392093044646982,602297594518030428986818986545686,234170438234669757816987374536542702

%N Coefficients of Jacobi elliptic function c(8,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+1,0,8) 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

%K nonn

%O 8,2

%A _Simon Plouffe_.

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

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Last modified September 19 22:06 EDT 2021. Contains 347576 sequences. (Running on oeis4.)