A384290 -id:A384290 - cp's OEIS frontend

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

Sean A. Irvine, May 24 2025

Periodic with period 2^24.
Also the random number generator used by Commodore AmigaBASIC.
Possibly also used by other versions of GWBASIC.

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

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.

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

Cf. A384290, A384291 (similar parameters).

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

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

A384291 Consecutive internal states of the linear congruential pseudo-random number generator (214013*s+13737667) mod 2^24 when started at s=1.

Original entry on oeis.org

1, 13951680, 13497987, 7046970, 2650389, 10542980, 14290999, 3607070, 3569769, 6625672, 160299, 10400834, 10291709, 10007756, 7450719, 7522726, 16472529, 3020112, 14720723, 14208586, 15784933, 1498900, 676231, 15697454, 3228729, 521752, 6298747, 11728210

Offset: 1

Sean A. Irvine, May 24 2025

Periodic with period 2^24.

Used by some versions of IBM BASIC.

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

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.

Cf. A384289, A384290.

NestList[Mod[214013*# + 13737667, 2^24] &, 1, 50] (* Paolo Xausa, May 27 2025 *)

a(n) = (214013 * a(n-1) + 13737667) mod 2^24.

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

Original entry on oeis.org

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

Sean A. Irvine, May 24 2025

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.

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

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.

Cf. A384289, A384290, A384291, A384292.

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

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

A384293 Consecutive internal states of the pseudo-random number generator (214013*(s mod 2^16)+13523655) mod 2^24 when started at s=1.

Original entry on oeis.org

1, 13737668, 4492923, 1465174, 1188037, 13716600, 8738143, 9934506, 13614793, 13927020, 11895683, 4496446, 458253, 7197856, 2514151, 3121170, 8864401, 3086100, 2844043, 6755878, 2240597, 10706376, 942447, 16495226, 10660697, 5962940, 2184339, 16607502

Offset: 1

Sean A. Irvine, May 24 2025

Periodic with period 2^16 (note 1 is not part of the repeating cycle).

This generator was used in IBM BASIC and was an erroneous attempt to implement (214013*s+13523655) mod 2^24 (see A384292).

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

Sean A. Irvine, Table of n, a(n) for n = 1..65537
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.

Cf. A384289, A384290, A384291, A384292.

NestList[Mod[214013*Mod[#, 2^16] + 13523655, 2^24] &, 1, 50] (* Paolo Xausa, May 27 2025 *)

a(n) = (214013 * (s mod 2^16) + 13523655) mod 2^24.

cp's OEIS Frontend

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

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A384291 Consecutive internal states of the linear congruential pseudo-random number generator (214013*s+13737667) mod 2^24 when started at s=1.

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

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Author

Keywords

Comments

References

Links

Crossrefs

Programs

Mathematica

Formula

A384293 Consecutive internal states of the pseudo-random number generator (214013*(s mod 2^16)+13523655) mod 2^24 when started at s=1.

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Author

Keywords

Comments

References

Links

Crossrefs

Programs

Mathematica

Formula