A385036 -id:A385036 - cp's OEIS frontend

A385078 Consecutive states of the linear congruential pseudo-random number generator (967*s + 3041) mod 14406 when started at s=1.

1, 4008, 3563, 5428, 8133, 1976, 12241, 12762, 12359, 11620, 2901, 13544, 5035, 2658, 9059, 4246, 3213, 12722, 2491, 6036, 5423, 3298, 8481, 7154, 6079, 3786, 4979, 6130, 9885, 10658, 9037, 11784, 3023, 1864, 4779, 8, 10777, 8862, 1025, 202, 11097, 1370, 2479

Offset: 1

Sean A. Irvine, Jun 16 2025

Periodic with period 14406.

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..14406
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 14406.

Cf. A384113, A384971, A385002, A385036.

a:= proc(n) option remember; `if`(n<2, n,
      irem(967*a(n-1)+3041, 14406))
    end:
seq(a(n), n=1..44);  # after Alois P. Heinz

NestList[Mod[967*# + 3041, 14406] &, 1, 50] (* Paolo Xausa, Jun 17 2025 *)

a(n) = (967 * a(n-1) + 3041) mod 14406.

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.

A385337 Consecutive states of the linear congruential pseudo-random number generator (1291*s + 4621) mod 21870 when started at s=1.

Original entry on oeis.org

1, 5912, 4383, 20614, 1505, 1146, 18817, 21668, 6279, 18910, 10511, 14922, 1453, 21494, 345, 12616, 20597, 1428, 11089, 17540, 13311, 21172, 173, 9264, 1555, 86, 6297, 20278, 5129, 21420, 14161, 3152, 6033, 7504, 3875, 20886, 2737, 17018, 17379, 2290, 8561

Offset: 1

Sean A. Irvine, Jun 25 2025

Periodic with period 21870.

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 21870.

Cf. A385078, A385036.

a:= proc(n) option remember; `if`(n<2, n,
      irem(1291*a(n-1)+4621, 21870))
    end:
seq(a(n), n=1..44);  # after Alois P. Heinz

NestList[Mod[1291*# + 4621, 21870] &, 1, 50] (* after Paolo Xausa *)

a(n) = (1291 * a(n-1) + 4621) mod 21870.

A385339 Consecutive states of the linear congruential pseudo-random number generator (1255*s + 6173) mod 29282 when started at s=1.

Original entry on oeis.org

1, 7428, 16637, 7542, 13297, 3168, 28943, 19958, 17353, 27662, 22813, 27974, 4425, 25250, 11799, 26508, 9361, 12146, 22763, 23788, 21755, 17874, 8031, 12070, 15229, 26704, 21085, 26202, 5997, 6934, 11589, 26496, 23583, 28018, 1081, 15856, 22975, 26310, 24409

Offset: 1

Sean A. Irvine, Jun 25 2025

Periodic with period 29282.

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 29282.

Cf. A385036, A385078, A385279.

a:= proc(n) option remember; `if`(n<2, n,
      irem(1255*a(n-1)+6173, 29282))
    end:
seq(a(n), n=1..44);  # after Alois P. Heinz

NestList[Mod[1255*# + 6173, 29282] &, 1, 50] (* after Paolo Xausa *)

a(n) = (1255 * a(n-1) + 6173) mod 29282.

cp's OEIS Frontend

A385078 Consecutive states of the linear congruential pseudo-random number generator (967*s + 3041) mod 14406 when started at s=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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A385337 Consecutive states of the linear congruential pseudo-random number generator (1291*s + 4621) mod 21870 when started at s=1.

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A385339 Consecutive states of the linear congruential pseudo-random number generator (1255*s + 6173) mod 29282 when started at s=1.

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Maple

Mathematica

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