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A033165 First occurrence of n as a term in the continued fraction for zeta(3). 3
1, 12, 25, 2, 64, 27, 17, 140, 10, 119, 21, 239, 175, 78, 181, 46, 200, 4, 83, 619, 753, 412, 177, 197, 414, 138, 146, 561, 233, 29, 2276, 1549, 660, 889, 298, 1040, 2279, 322, 1274, 1882, 345, 2926, 673, 254, 1961, 1542, 1681, 296, 5423, 2423, 2557, 228 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Incorrectly indexed version of A229057.

LINKS

Table of n, a(n) for n=1..52.

Eric Weisstein's World of Mathematics, Apery's Constant Continued Fraction

FORMULA

5/2*sum(x=1, infinity, (-1)^(x-1)*(x!)^3/x^3/(2*x)!)

MATHEMATICA

With[{cfz3 = ContinuedFraction[Zeta[3], 6000]}, Flatten[Table[Position[cfz3, n, 1, 1], {n, 60}]]] (* Harvey P. Dale, Nov 11 2012 *)

PROG

(PARI) (1500 precision digits) v=contfrac(zeta(3)); a(n)=if(n<0, 0, s=1; while(abs(n-component(v, s))>0, s++); s)

CROSSREFS

Cf. A032523.

Sequence in context: A198808 A249134 A323195 * A224676 A239147 A136739

Adjacent sequences:  A033162 A033163 A033164 * A033166 A033167 A033168

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Randall L. Rathbun (randallr(AT)abac.com), Feb 03 2002

STATUS

approved

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Last modified March 24 12:14 EDT 2019. Contains 321448 sequences. (Running on oeis4.)