A384548 Consecutive states of the linear congruential pseudo-random number generator 2304580733*s mod 2^32 when started at s=1.

1, 2304580733, 2147325193, 811843941, 3633150545, 4276262285, 104296921, 2522567413, 2813021601, 4154426269, 810643369, 2170487173, 1239370225, 1403680429, 823123577, 1141497109, 3667935041, 180813501, 3064991305, 3071014309, 967179665, 74820557, 716721945

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, A384549, A384550, A384551, A384552.

Programs

Mathematica

NestList[Mod[2304580733*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Formula

a(n) = 2304580733 * a(n-1) mod 2^32.