A013680 Continued fraction for zeta(4).

1, 12, 6, 1, 3, 1, 4, 183, 1, 1, 2, 1, 3, 1, 1, 5, 4, 2, 7, 23, 1, 1, 1, 1, 3, 2, 4, 2, 2, 22, 1, 13, 5, 1, 4, 2, 1, 3, 1, 1, 1, 6, 11, 40, 1, 7, 5, 2, 4, 1, 2, 3, 14, 9, 1, 33, 78, 1, 12, 4, 1, 2, 551, 1, 1, 1, 1, 1, 1, 2, 1, 9, 2, 7, 3, 1, 3, 2, 15, 1, 1, 2, 2

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			zeta(4) = 1 + 1/(12 + 1/(6 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, Apr 29 2009
		

Links

• T. D. Noe, Table of n, a(n) for n = 0..9999
• G. Xiao, Contfrac
• Index entries for continued fractions for constants
• Index entries for zeta function

Crossrefs

Cf. A013662 (zeta(4)). - Harry J. Smith, Apr 29 2009

Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013681-A013696.

Programs

Mathematica

ContinuedFraction[Zeta[4],80] (* Harvey P. Dale, Oct 13 2013 *)

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^4/90); for (n=1, 20000, write("b013680.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 29 2009

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024