%I #14 Dec 30 2024 12:45:30

%S 1,6,12,5,37,23,8,56,83,14,107,128,111,121,20,171,346,172,57,45,607,

%T 641,968,925,239,291,44,659,396,233,186,1353,509,739,843,681,1020,213,

%U 577,345,670,196,287,91,54,3510,910,800,3462,803,503,355,3428,1157,247

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

%t 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 *)

%o (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)

%Y Cf. A013679, A032523.

%K base,nonn

%O 1,2

%A _Benoit Cloitre_, Oct 20 2002