A384292 Consecutive internal states of the linear congruential pseudo-random number generator (214013*s+13523655) mod 2^24 when started at s=1.

1, 13737668, 13733499, 10705750, 2695365, 5655672, 8607071, 956074, 10862281, 15041132, 426883, 3316798, 7405069, 1954976, 13589735, 12754962, 4276881, 7083796, 15164811, 11671078, 798805, 8347080, 9527663, 4764282, 13282137, 16579772, 2970771, 7760142

Offset: 1

Author

Sean A. Irvine, May 24 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^24.

Intended as a generator in IBM BASIC, but was actually implemented incorrectly as (214013 * (s mod 2^16) + 13523655) mod 2^24 (see A384293) resulting in a period of just 2^16.

References

• G. Sawitzki, Another random number generator which should be avoided, Statistical Software Newsletter, 11 (1985), 81-82.

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• B. D. Ripley, Thoughts on pseudorandom number generators, J of Computational and Applied Mathematics, 31, 1 (1990), 153-163.
• 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. A384289, A384290, A384291, A384292.

Programs

Mathematica

NestList[Mod[214013*# + 13523655, 2^24] &, 1, 50] (* Paolo Xausa, May 27 2025 *)

Formula

a(n) = (214013 * a(n-1) + 13523655) mod 2^24.