A383129 Consecutive internal states of the linear congruential pseudo-random number generator (421*s + 54773) mod 259200 when started at 1.

1, 55194, 222647, 217960, 59133, 66566, 85459, 4212, 13625, 88498, 246831, 31424, 65077, 236190, 217163, 241996, 69489, 20042, 198055, 232728, 55661, 160054, 45507, 32420, 225193, 253026, 47519, 101872, 174885, 68558, 146491, 37884, 192737, 67450, 198423

Offset

1,2

Comments

Periodic with period 259200.

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.

Index entries for linear recurrences with constant coefficients, order 259200.

Formula

a(n) = (421*a(n-1) + 54773) mod 259200.

Maple

a:= proc(n) option remember; `if`(n<2, n,
      irem(421*a(n-1)+54773, 259200))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

Mathematica

NestList[Mod[421*# + 54773, 259200] &, 1, 50] (* Paolo Xausa, Jun 18 2025 *)

Crossrefs

Cf. A383126, A383127, A383128.

Sequence in context: A091536 A237732 A251164 * A253148 A204776 A237485

Adjacent sequences: A383126 A383127 A383128 * A383130 A383131 A383132

Keyword

nonn,look,easy

Author

Sean A. Irvine, Jun 17 2025

Status

approved