A076588 First occurrence of n as a term in the continued fraction for Pi/4.

2, 8, 3, 76, 17, 67, 50, 54, 11, 20, 73, 413, 59, 162, 7, 75, 13, 587, 393, 24, 112, 228, 403, 40, 843, 560, 590, 69, 187, 617, 215, 400, 1182, 259, 1680, 548, 758, 226, 133, 78, 1265, 589, 96, 169, 3108, 5892, 258, 261, 4608, 3810, 2386, 1251, 2698, 2374

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Mathematica

With[{cf=ContinuedFraction[Pi/4, 6000]}, Table[Position[cf, n, 1, 1], {n, 60}]]//Flatten (* Harvey P. Dale, Aug 25 2025 *)

Prog

(PARI) \\ 15000 precision digits
v=contfrac(Pi/4); a(n)=if(n<0, 0, s=1; while(abs(n-component(v, s))>0, s++); s)

Crossrefs

Cf. A032523, A070989.

Sequence in context: A256411 A218609 A268491 * A068565 A391867 A092042

Adjacent sequences: A076585 A076586 A076587 * A076589 A076590 A076591

Keyword

base,nonn

Author

Benoit Cloitre, Oct 20 2002

Status

approved