A384551 Consecutive states of the linear congruential pseudo-random number generator 3203713013*s mod 2^32 when started at s=1.

1, 3203713013, 1932972153, 1624740557, 1389418801, 4217959141, 2827253801, 893574717, 199498593, 3372915413, 1317388505, 4223549101, 4071519889, 2136354757, 2590104201, 3373966365, 498440897, 1477255605, 4031313209, 3032874637, 784349169, 1495654565

Offset: 1

Author

Sean A. Irvine, Jun 02 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^30.

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

Cf. A384489, A384534, A384546, A384547, A384548, A384549, A384550, A384552.

Programs

Mathematica

NestList[Mod[3203713013*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Formula

a(n) = 3203713013 * a(n-1) mod 2^32.