A384152 -id:A384152 - cp's OEIS frontend

A384971 Consecutive internal states of the linear congruential pseudo-random number generator (106*s + 1283) mod 6075 when started at 1.

1, 1389, 2717, 3760, 4968, 5441, 904, 5982, 3575, 3583, 4431, 3194, 5722, 315, 4298, 1246, 5784, 812, 2305, 2613, 4886, 2824, 2952, 4370, 2803, 726, 5339, 2242, 2010, 1718, 1141, 729, 5657, 5575, 2958, 5006, 3394, 2622, 5840, 673, 5796, 2084, 3487, 330, 5888

Offset: 1

Sean A. Irvine, Jun 13 2025

Periodic with period 6075.

Described in Numerical Recipes as a "quick and dirty" generator.

William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, Numerical Recipes in C (2nd ed), Cambridge University Press, 1999 (see p. 285).

Sean A. Irvine, Table of n, a(n) for n = 1..6075
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.
Index entries for linear recurrences with constant coefficients, order 6075.

Cf. A384113, A384114, A384126, A384152, A384158, A384196.

a:= proc(n) option remember; `if`(n<2, n,
      irem(106*a(n-1)+1283, 6075))
    end:
seq(a(n), n=1..45);  # Alois P. Heinz, Jun 13 2025

NestList[Mod[106*# + 1283, 6075] &, 1, 50] (* Paolo Xausa, Jun 17 2025 *)

a(n) = (106*a(n-1) + 1283) mod 6075.

A385039 Consecutive internal states of the linear congruential pseudo-random number generator (171*s + 11213) mod 53125 when started at 1.

Original entry on oeis.org

1, 11384, 45377, 14430, 34993, 45016, 5824, 50867, 50095, 24333, 28406, 34264, 26607, 45385, 15798, 3296, 43579, 25722, 300, 9388, 22811, 33769, 48212, 21090, 5103, 33826, 4834, 40952, 1505, 2943, 36341, 9899, 3942, 47795, 2908, 30356, 48964, 43432, 585, 4998

Offset: 1

Sean A. Irvine, Jun 13 2025

Periodic with period 53125.

Described in Numerical Recipes as a "quick and dirty" generator.

William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, Numerical Recipes in C (2nd ed), Cambridge University Press, 1999 (see p. 285).

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.
Index entries for linear recurrences with constant coefficients, order 53125.

Cf. A384113, A384114, A384126, A384152, A384158, A384196.

a:= proc(n) option remember; `if`(n<2, n,
      irem(171*a(n-1)+11213, 53125))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

NestList[Mod[171*# + 11213, 53125] &, 1, 50] (* Paolo Xausa, Jun 16 2025 *)

a(n) = (171*a(n-1) + 11213) mod 53125.

A384973 Consecutive states of the linear congruential pseudo-random number generator (101*s+1) mod 2^13 when started at s=1.

Original entry on oeis.org

1, 102, 2111, 220, 5837, 7906, 3883, 7160, 2265, 7582, 3927, 3412, 549, 6298, 5315, 4336, 3761, 3030, 2927, 716, 6781, 4946, 8027, 7912, 4489, 2830, 7303, 324, 8149, 3850, 3827, 1504, 4449, 6982, 671, 2236, 4653, 3010, 907, 1496, 3641, 7294, 7607, 6452, 4485

Offset: 1

Sean A. Irvine, Jun 13 2025

Periodic with period 2^13.

Sean A. Irvine, Table of n, a(n) for n = 1..8192
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. A384126, A384152, A384158, A384194.

NestList[Mod[101*# + 1, 2^13] &, 1, 50] (* Paolo Xausa, Jun 18 2025 *)

a(n) = (101*a(n-1) + 1) mod 2^13.

A385038 Consecutive internal states of the linear congruential pseudo-random number generator (1366*s + 1283) mod 6075 when started at 1.

Original entry on oeis.org

1, 2649, 5192, 4030, 2313, 1841, 1039, 5082, 5645, 3178, 4881, 4454, 4372, 1710, 4343, 4621, 1644, 5312, 3925, 4683, 1286, 2284, 4752, 4415, 5773, 1851, 2549, 2242, 2055, 1763, 3841, 5364, 2057, 4495, 5703, 3431, 4204, 3072, 5885, 2968, 3546, 3344, 787, 1050

Offset: 1

Sean A. Irvine, Jun 13 2025

Periodic with period 6075.

Described in Numerical Recipes as a "quick and dirty" generator.

William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, Numerical Recipes in C (2nd ed), Cambridge University Press, 1999 (see p. 285).

Sean A. Irvine, Table of n, a(n) for n = 1..6075
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. A384113, A384114, A384126, A384152, A384158, A384196, A384971, A385037.

a:= proc(n) option remember; `if`(n<2, n,
      irem(1366*a(n-1)+1283, 6075))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

NestList[Mod[1366*# + 1283, 6075] &, 1, 50] (* Paolo Xausa, Jun 16 2025 *)

a(n) = (1366*a(n-1) + 1283) mod 6075.

cp's OEIS Frontend

A384971 Consecutive internal states of the linear congruential pseudo-random number generator (106*s + 1283) mod 6075 when started at 1.

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A385039 Consecutive internal states of the linear congruential pseudo-random number generator (171*s + 11213) mod 53125 when started at 1.

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A384973 Consecutive states of the linear congruential pseudo-random number generator (101*s+1) mod 2^13 when started at s=1.

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A385038 Consecutive internal states of the linear congruential pseudo-random number generator (1366*s + 1283) mod 6075 when started at 1.

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Maple

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