A384534 Consecutive states of the linear congruential pseudo-random number generator 1099087573 * s mod 2^32 when started at s=1.

1, 1099087573, 2291457337, 4026424941, 420705969, 2250972997, 153107049, 3581708125, 1733142113, 3008982197, 3237988505, 577074509, 160677649, 4150171429, 732641225, 3320748093, 2424041665, 1993379477, 3791861753, 363487277, 3187501937, 1778008837, 948009257

Offset: 1

Author

Sean A. Irvine, Jun 01 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.

Programs

Mathematica

NestList[Mod[1099087573*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

Formula

a(n) = 1099087573 * a(n-1) mod 2^32.