A385039 -id:A385039 - cp's OEIS frontend

A383126 Consecutive internal states of the linear congruential pseudo-random number generator (281*s + 28411) mod 134456 when started at 1.

1, 28692, 23503, 44410, 3213, 124528, 62219, 32670, 65673, 62052, 120199, 55874, 132109, 41184, 37899, 56006, 34745, 110924, 4263, 16210, 11917, 15688, 134147, 76038, 16585, 117292, 45743, 108874, 100493, 31184, 51475, 106094, 126049, 86252, 63143, 23402

Offset: 1

Sean A. Irvine, Jun 17 2025

Periodic with period 134456.

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 134456.

Cf. A383127, A384431, A385002, A385003, A385037, A385039, A385078.

a:= proc(n) option remember; `if`(n<2, n,
      irem(281*a(n-1)+28411, 134456))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

NestList[Mod[281*# + 28411, 134456] &, 1, 50] (* Paolo Xausa, Jun 18 2025 *)

a(n) = (281*a(n-1) + 28411) mod 134456.

A383127 Consecutive internal states of the linear congruential pseudo-random number generator (205*s + 29573) mod 139968 when started at 1.

Original entry on oeis.org

1, 29778, 115439, 39976, 106509, 28910, 77467, 93924, 108377, 131914, 58119, 46688, 82789, 65190, 96563, 89500, 41265, 90818, 31519, 52440, 2237, 68254, 24843, 83540, 79177, 24570, 27575, 83728, 117717, 87062, 101347, 90444, 94817, 11506, 8847, 23624, 113581

Offset: 1

Sean A. Irvine, Jun 17 2025

Periodic with period 139968.

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 139968.

Cf. A383126, A384431, A385002, A385003, A385037, A385039, A385078.

a:= proc(n) option remember; `if`(n<2, n,
      irem(205*a(n-1)+29573, 139968))
    end:
seq(a(n), n=1..45);  # after Alois P. Heinz

NestList[Mod[205*# + 29573, 139968] &, 1, 50] (* Paolo Xausa, Jun 18 2025 *)

a(n) = (205*a(n-1) + 29573) mod 139968.

A385279 Consecutive states of the linear congruential pseudo-random number generator (625*s + 6571) mod 31104 when started at s=1.

Original entry on oeis.org

1, 7196, 25095, 14530, 5453, 24360, 21715, 17102, 26649, 21556, 11039, 858, 14053, 18368, 9195, 30310, 7985, 20556, 8119, 10994, 3837, 9688, 27395, 21246, 3913, 26084, 10575, 21898, 7061, 2928, 1435, 1430, 29409, 4732, 9191, 27810, 685, 30344, 29235, 20398

Offset: 1

Sean A. Irvine, Jun 23 2025

Periodic with period 31104.

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
Index entries for sequences related to pseudo-random numbers.
Index entries for linear recurrences with constant coefficients, order 31104.

Cf. A385036, A385039.

a:= proc(n) option remember; `if`(n<2, n,
      irem(625*a(n-1)+6571, 31104))
    end:
seq(a(n), n=1..44);  # after Alois P. Heinz

NestList[Mod[625*# + 6571, 31104] &, 1, 50] (* after Paolo Xausa *)

a(n) = (625 * a(n-1) + 6571) mod 31104.

A385338 Consecutive states of the linear congruential pseudo-random number generator (421*s + 17117) mod 81000 when started at s=1.

Original entry on oeis.org

1, 17538, 29615, 11032, 44589, 78086, 5323, 71100, 61217, 31474, 64671, 27608, 57085, 73902, 25859, 49756, 66393, 23570, 58087, 9744, 69341, 49678, 33555, 49772, 73129, 24426, 13463, 15040, 30957, 9014, 5011, 20748, 4025, 10642, 42399, 47096, 80533, 63510

Offset: 1

Sean A. Irvine, Jun 25 2025

Periodic with period 81000.

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
Index entries for sequences related to pseudo-random numbers.
Index entries for linear recurrences with constant coefficients, order 81000.

Cf. A383126, A385039.

a:= proc(n) option remember; `if`(n<2, n,
      irem(421*a(n-1)+17117, 81000))
    end:
seq(a(n), n=1..44);  # after Alois P. Heinz

NestList[Mod[421*# + 17117, 81000] &, 1, 50] (* after Paolo Xausa *)

a(n) = (421 * a(n-1) + 17117) mod 81000.

cp's OEIS Frontend

A383126 Consecutive internal states of the linear congruential pseudo-random number generator (281*s + 28411) mod 134456 when started at 1.

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A383127 Consecutive internal states of the linear congruential pseudo-random number generator (205*s + 29573) mod 139968 when started at 1.

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A385279 Consecutive states of the linear congruential pseudo-random number generator (625*s + 6571) mod 31104 when started at s=1.

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A385338 Consecutive states of the linear congruential pseudo-random number generator (421*s + 17117) mod 81000 when started at s=1.

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Maple

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