A076590 First occurrence of n as a term in the continued fraction for zeta(2)=Pi^2/6.

1, 6, 12, 5, 37, 23, 8, 56, 83, 14, 107, 128, 111, 121, 20, 171, 346, 172, 57, 45, 607, 641, 968, 925, 239, 291, 44, 659, 396, 233, 186, 1353, 509, 739, 843, 681, 1020, 213, 577, 345, 670, 196, 287, 91, 54, 3510, 910, 800, 3462, 803, 503, 355, 3428, 1157, 247

Offset: 1

Author

Benoit Cloitre, Oct 20 2002

Keywords

• base
• nonn

Crossrefs

Cf. A013679, A032523.

Programs

Mathematica

Module[{nn=4000,cf},cf=ContinuedFraction[Pi^2/6,nn];Table[Position[cf,n,1,1],{n,60}]]//Flatten (* Harvey P. Dale, Dec 29 2024 *)

PARI

/* 15000 precision digits */ v=contfrac(zeta(2)); a(n)=if(n<0,0,s=1; while(abs(n-component(v,s))>0,s++); s)