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

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Incorrectly indexed version of A229057.

Links

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

Crossrefs

Cf. A013631, A032523, A229057.

Programs

Mathematica

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

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)

Formula

a(n) = 1 + A229057(n).

Extensions

More terms from Randall L Rathbun, Feb 03 2002