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A225802 Position of first occurrence of n in continued fraction for Pi, or -1 if n never occurs. 2
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).

Cf. A001203 (continued fraction of Pi).

Sequence in context: A197417 A085995 A076482 * A156827 A330963 A327195

Adjacent sequences:  A225799 A225800 A225801 * A225803 A225804 A225805

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Jul 27 2013

EXTENSIONS

"Escape clause" added to definition by Jianing Song, Apr 06 2019

STATUS

approved

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Last modified August 13 19:30 EDT 2020. Contains 336451 sequences. (Running on oeis4.)