A384404 Consecutive states of the linear congruential pseudo-random number generator for Turbo Pascal when started at 1.

1, 134775814, 3698175007, 870078620, 1172187917, 2884733762, 1368768587, 694906232, 1598751577, 1828254910, 352239543, 2039224980, 303092965, 3611442298, 256513635, 1259699184, 3939707825, 1580146294, 3327160399, 1408429452, 2996491197, 3625686706, 3083712891

Offset

1,2

Comments

Periodic with period 2^32.

Also used by Borland Delphi and Virtual Pascal.

Links

Sean A. Irvine, Table of n, a(n) for n = 1..10000

Wikipedia, Linear congruential generator

Index entries for sequences related to pseudo-random numbers.

Formula

a(n) = (134775813 * a(n-1) + 1) mod 2^32.

Maple

a:= proc(n) option remember; `if`(n=1, 1,
      irem(134775813*a(n-1)+1, 2^32))
    end:
seq(a(n), n=1..23);  # Alois P. Heinz, May 30 2025

Mathematica

NestList[Mod[134775813*# + 1, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

Crossrefs

Cf. A152960, A383940, A384126, A384150, A384194, A384236, A384339, A384429, A384432.

Sequence in context: A345643 A346259 A152960 * A034590 A185888 A105297

Adjacent sequences: A384401 A384402 A384403 * A384405 A384406 A384407

Keyword

nonn,easy

Author

Sean A. Irvine, May 30 2025

Status

approved