A384159 Consecutive states of the linear congruential pseudo-random number generator for 32-bit WATFOR/WATFIV when started at 1.

1, 20613, 424895769, 938169853, 404929649, 1693398709, 828374025, 631292077, 1220159969, 1976439269, 430365689, 2020481117, 2026879057, 763630101, 1799615721, 1993805069, 1909315521, 1935501125, 533477081, 1446792893, 636483633, 859521397, 574460361, 126586221

Offset: 1

Author

Sean A. Irvine, May 20 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^29 (considerably less than the modulus).

WATFOR and WATFIV are early FORTRAN compilers from the University of Waterloo.

References

• Terry M. Walker, Fundamentals of Fortran Programming: with WATFOR/WATFIV, Allyn and Bacon, 1975.

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

Cf. A384158, A384160.

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

Programs

Mathematica

NestList[Mod[20613*#, 2^31] &, 1, 23] (* Stefano Spezia, May 24 2025 *)

Formula

a(n) = 20613 * a(n-1) mod 2^31.