A383128 Consecutive internal states of the linear congruential pseudo-random number generator (321*s + 123) mod 10^5 when started at 1.

1, 444, 42647, 89810, 29133, 51816, 33059, 12062, 72025, 20148, 67631, 9674, 5477, 58240, 95163, 47446, 30289, 22892, 48455, 54178, 91261, 94904, 64307, 42670, 97193, 99076, 3519, 29722, 40885, 24208, 70891, 56134, 19137, 43100, 35223, 6706, 52749, 32552

Offset

1,2

Comments

Periodic with period 10^5.

Links

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

W. E. Sharp and Carter Bays, A review of portable random number generators, Computers and Geosciences, 18, 1 (1982), 79-87.

Index entries for sequences related to pseudo-random numbers.

Formula

a(n) = (321*a(n-1) + 123) mod 10^5.

Maple

a:= proc(n) option remember; `if`(n<2, n,
      irem(321*a(n-1)+123, 100000))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

Mathematica

NestList[Mod[321*# + 123, 10^5] &, 1, 50] (* Paolo Xausa, Jun 18 2025 *)

Crossrefs

Cf. A383126, A383127, A384341.

Sequence in context: A233711 A251294 A233377 * A098255 A028460 A292139

Adjacent sequences: A383125 A383126 A383127 * A383129 A383130 A383131

Keyword

nonn,look,easy

Author

Sean A. Irvine, Jun 17 2025

Status

approved