A225802 - OEIS

A225802

Position of first occurrence of n in continued fraction for Pi, or -1 if n never occurs.

3, 8, 0, 29, 39, 31, 1, 43, 129, 99, 275, 54, 27, 12, 2, 77, 646, 136, 139, 179, 213, 82, 202, 90, 790, 111, 573, 174, 242, 146, 877, 454, 530, 420, 1007, 593, 783, 3040, 720, 1871, 753, 118, 491, 428, 80, 3199, 824, 282, 3026, 464, 1436, 3383, 1546, 1863, 445, 1017

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Correctly indexed version of A032523.

All positive integers <= 49003 occur in the first 15000000000 terms of the c.f. (the first that do not are 49004, 50471, 53486, 56315, 58255, ...) - Eric W. Weisstein, Jul 27 2013

LINKS

Eric W. Weisstein, Table of n, a(n) for n = 1..49003

Eric Weisstein's World of Mathematics, Pi Continued Fraction

FORMULA

a(n) = A032523(n) - 1.

EXAMPLE

The continued fraction of Pi is [a_0; a_1, a_2, ...] = [3; 7, 15, 1, 292, 1, 1, 1, 2, 1, ...], so

a(1) = 3 (1 first occurs at term a_3);

a(2) = 8 (2 first occurs at term a_8);

a(3) = 0 (3 first occurs at term a_0).

CROSSREFS

Cf. A032523 (= a(n) + 1).