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A032429 Coefficients of Jacobi elliptic function c(6,m). 0
1, 896803, 2949965020, 2504055894564, 1171517154238290, 393938089395885894, 107947764316226205276, 25835579116799316507780, 5632500127524872577252027, 1149330973559307337432235521, 223559382769795167319093086664, 41982964485265754951017173213880 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Table of n, a(n) for n=6..17.

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+1,0,6) 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: A224594 A105379 A186792 * A184456 A190391 A154547

Adjacent sequences:  A032426 A032427 A032428 * A032430 A032431 A032432

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 October 31 19:00 EDT 2020. Contains 338111 sequences. (Running on oeis4.)