A384160 Consecutive states of the linear congruential pseudo-random number generator for 36-bit WATFOR/WATFIV when started at 1.

1, 131069, 17179082761, 17183408101, 34345582673, 53083917, 16988766937, 17848727413, 32066509217, 7739650845, 25740764841, 33596591109, 30610037745, 12186659885, 12166953849, 6296898965, 7334844225, 19577928253, 5497393481, 14152584229, 20226775953

Offset

1,2

Comments

Periodic with period 2^33 (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.

Formula

a(n) = 131069 * a(n-1) mod 2^35.

Mathematica

NestList[Mod[131069*#, 2^35] &, 1, 20] (* Stefano Spezia, May 24 2025 *)

Crossrefs

Cf. A384158, A384159.

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

Sequence in context: A013693 A103534 A239610 * A165478 A051331 A075972

Adjacent sequences: A384157 A384158 A384159 * A384161 A384162 A384163

Keyword

nonn,easy

Author

Sean A. Irvine, May 20 2025

Status

approved