A033165 First occurrence of n as a term in the continued fraction for zeta(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

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

a(n) = (5/2)*Sum_{x>=1} (-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, Feb 03 2002

Status

approved