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A032428 Coefficients of Jacobi elliptic function c(5,m). 1

%I

%S 1,99642,116294673,47152124264,11966116940238,2347836365864484,

%T 393938089395885894,59752013018382750024,8470841585571575617239,

%U 1146456994425541774291534,150221961163114696686151695,19239380962379456298762250416,2424371762015227695363084225932

%N Coefficients of Jacobi elliptic function c(5,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.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a032/A032428.java">Java program</a> (github)

%F a(n) = T(2*n+1,0,5) 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 5,2

%A _Simon Plouffe_.

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

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Last modified October 21 18:33 EDT 2021. Contains 348155 sequences. (Running on oeis4.)