A035331 Base-1000 expansion of Pi.

3, 141, 592, 653, 589, 793, 238, 462, 643, 383, 279, 502, 884, 197, 169, 399, 375, 105, 820, 974, 944, 592, 307, 816, 406, 286, 208, 998, 628, 34, 825, 342, 117, 67, 982, 148, 86, 513, 282, 306, 647, 93, 844, 609, 550, 582, 231, 725, 359, 408, 128, 481, 117, 450

Offset

0,1

Comments

Start with a(0)=3; other terms are formed from triples of successive digits in the decimal expansion of Pi.

This sequence can be considered as a (pseudo)random generator with range 0..999. Its scatterplot graph is very similar to that of other random generators, e.g., A096558. - M. F. Hasler, May 14 2015

Links

T. D. Noe, Table of n, a(n) for n = 0..10000

Formula

a(n) = floor(Pi*10^(3n)) mod 1000. - M. F. Hasler, May 14 2015

Example

Pi = 3.141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375 105 ...

Mathematica

RealDigits[Pi, 1000, 60][[1]] (* Harvey P. Dale, Nov 22 2015 *)

Prog

(PARI) default(realprecision, 3*N=100); vector(N, i, Pi\1000^(1-i)%1000) \\ or: {P=Pi; vector(N, i, P\1+0*P=frac(P)*1000)} or {P=Pi/1000; vector(N, i, floor(P=frac(P)*1000))}. \\ M. F. Hasler, May 11 2015

Crossrefs

Cf. A000796, A016062, A037244, A050819, A032445, A064467.

Sequence in context: A191958 A224707 A288922 * A050819 A255190 A037121

Adjacent sequences: A035328 A035329 A035330 * A035332 A035333 A035334

Keyword

nonn,base,easy,look

Author

Joerg Zurkirchen (joerg.zurkirchen(AT)credit-suisse.ch)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Oct 04 2001

Better definition from Franklin T. Adams-Watters, Apr 10 2006

Status

approved