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A032432 Coefficients of Jacobi elliptic function c(9,m). 0
1, 653772070, 46535238000235, 321298267540551700, 803475280086029066515, 1146456994425541774291534, 1149330973559307337432235521, 906467723949073501017465886864, 602297594518030428986818986545686, 352513571679334580855533139395470836 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,2

LINKS

Table of n, a(n) for n=9..18.

A. Fransen, Conjectures on the Taylor series expansion coefficients of the Jacobian elliptic function sn(n,k), Math. Comp., 37 (1981), 475-497.

FORMULA

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

CROSSREFS

Sequence in context: A018786 A003824 A105382 * A307759 A271770 A290039

Adjacent sequences:  A032429 A032430 A032431 * A032433 A032434 A032435

KEYWORD

nonn

AUTHOR

Simon Plouffe.

EXTENSIONS

Offset corrected and more terms from Sean A. Irvine, Jun 20 2020

STATUS

approved

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Last modified September 17 11:47 EDT 2021. Contains 347477 sequences. (Running on oeis4.)