A013680 - OEIS

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

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OFFSET

0,2

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

EXAMPLE

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

MATHEMATICA

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

PROG

(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

CROSSREFS

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

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

Sequence in context: A281041 A038331 A028578 * A033963 A131570 A033332

Adjacent sequences: A013677 A013678 A013679 * A013681 A013682 A013683

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Andrew Howroyd, Jul 09 2024

STATUS

approved