A384289 Consecutive internal states of the linear congruential pseudo-random number generator for GWBASIC 3.23 when started at 1.

1, 2745024, 2356867, 12486458, 8679701, 14802820, 7082039, 14027294, 11434089, 5380488, 9466411, 4830274, 15796733, 15840460, 12300383, 15321510, 15423953, 11736400, 10919635, 14405194, 3988453, 8904468, 807303, 4097582, 10044473, 2422296, 6167675, 914770

Offset: 1

Author

Sean A. Irvine, May 24 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^24.

Also the random number generator used by Commodore AmigaBASIC.

Possibly also used by other versions of GWBASIC.

References

• David I. Schneider, Handbook of BASIC (3rd ed.), Simon & Schuster, 1988 (see p. 497).

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• W. E. Sharp and Carter Bays, A review of portable random number generators, Computers and Geosciences, 18, 1 (1982), 79-87.
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

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

Cf. A384290, A384291 (similar parameters).

Programs

Mathematica

NestList[Mod[214013*#+2531011, 2^24] &, 1, 27] (* Stefano Spezia, May 24 2025 *)

Formula

a(n) = (214013 * a(n-1) + 2531011) mod 2^24.