A384489 Consecutive states of the linear congruential pseudo-random number generator 392314069 * s mod 2^32 when started at s=1.

1, 392314069, 3884484921, 1268090989, 4095610545, 2939532613, 4120247913, 1352616285, 3662927457, 371333813, 3840713881, 2970275661, 487491345, 3493879077, 1452026825, 2933230141, 3932967105, 2951638165, 920470521, 3864652333, 1810654065, 1799305477

Offset: 1

Author

Sean A. Irvine, May 30 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^30.

References

• George S. Fishman, Discrete-Event Simulation: Modeling, Programming, and Analysis, Springer, 2001 (see p. 453).

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. A384534.

Cf. A096550-A096561 other pseudo-random number generators.

Programs

Mathematica

NestList[Mod[392314069*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

Formula

a(n) = 392314069 * a(n-1) mod 2^32.