A384534 -id:A384534 - cp's OEIS frontend

A384546 Consecutive states of the linear congruential pseudo-random number generator 1732073221*s mod 2^32 when started at s=1.

1, 1732073221, 2616616473, 729251197, 2797858417, 533270325, 3854126857, 3936328237, 2856078817, 3879861349, 3089187065, 2416960477, 1835568721, 733302421, 616573929, 1009912461, 1831411649, 1402287557, 1780547545, 2404171325, 3232723505, 1340662261, 515353801

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384547, A384548, A384549, A384550, A384551, A384552.

a:= proc(n) option remember; `if`(n<2, n,
      irem(1732073221*a(n-1), 2^32))
    end:
seq(a(n), n=1..23);  # Alois P. Heinz, Jun 02 2025

NestList[Mod[1732073221*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

a(n) = 1732073221 * a(n-1) mod 2^32.

A384547 Consecutive states of the linear congruential pseudo-random number generator 1749966429*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 1749966429, 863268297, 2363076613, 3275540433, 136402157, 1501618201, 1169725205, 2884540577, 4207317117, 3511051113, 3507530533, 1059832433, 716775693, 3646539705, 4015094837, 1012634945, 1877022365, 4142456073, 880777797, 4127613201, 857964845, 1091203929

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384548, A384549, A384550, A384551, A384552.

NestList[Mod[1749966429*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

a(n) = 1749966429 * a(n-1) mod 2^32.

A384548 Consecutive states of the linear congruential pseudo-random number generator 2304580733*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 2304580733, 2147325193, 811843941, 3633150545, 4276262285, 104296921, 2522567413, 2813021601, 4154426269, 810643369, 2170487173, 1239370225, 1403680429, 823123577, 1141497109, 3667935041, 180813501, 3064991305, 3071014309, 967179665, 74820557, 716721945

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384547, A384549, A384550, A384551, A384552.

NestList[Mod[2304580733*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

a(n) = 2304580733 * a(n-1) mod 2^32.

A384549 Consecutive states of the linear congruential pseudo-random number generator 2396548189*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 2396548189, 919509449, 1367779845, 2816335825, 1549695725, 2552669209, 3864799509, 3766995105, 1875889789, 3641884521, 2200425765, 3499887217, 443512589, 1236253625, 3928047157, 4144624961, 4008543389, 4206061833, 1628763205, 2078398737, 3707176749

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384547, A384548, A384550, A384551, A384552.

NestList[Mod[2396548189*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 05 2025 *)

a(n) = 2396548189 * a(n-1) mod 2^32.

A384550 Consecutive states of the linear congruential pseudo-random number generator 2824527309*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 2824527309, 3293550121, 2596709333, 3445756561, 3498707741, 441773881, 3935421861, 1918678561, 1293047149, 465535305, 3869281397, 1895004849, 3994946749, 562125913, 1620691013, 3444240449, 893681933, 2983563369, 1922648341, 2453186257, 3436839517, 458239353

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384547, A384548, A384549, A384551, A384552.

a:= proc(n) option remember; `if`(n<2, n,
      irem(2824527309*a(n-1), 2^32))
    end:
seq(a(n), n=1..23);  # Alois P. Heinz, Jun 02 2025

NestList[Mod[2824527309*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

a(n) = 2824527309 * a(n-1) mod 2^32.

A384551 Consecutive states of the linear congruential pseudo-random number generator 3203713013*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 3203713013, 1932972153, 1624740557, 1389418801, 4217959141, 2827253801, 893574717, 199498593, 3372915413, 1317388505, 4223549101, 4071519889, 2136354757, 2590104201, 3373966365, 498440897, 1477255605, 4031313209, 3032874637, 784349169, 1495654565

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384547, A384548, A384549, A384550, A384552.

NestList[Mod[3203713013*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

a(n) = 3203713013 * a(n-1) mod 2^32.

A384552 Consecutive states of the linear congruential pseudo-random number generator 3934873077*s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 3934873077, 752172153, 4289699021, 1201860913, 3042060517, 642808873, 1475608637, 1396788065, 1898146005, 188505305, 2609346733, 30916241, 1732351429, 3930590857, 2785211933, 1131674305, 3946192821, 3744186681, 1503422605, 1298444273, 1019180709, 4250445033

Offset: 1

Sean A. Irvine, Jun 02 2025

Periodic with period 2^30.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384489, A384534, A384546, A384547, A384548, A384549, A384550, A384551.

NestList[Mod[3934873077*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 05 2025 *)

a(n) = 3934873077 * a(n-1) mod 2^32.

a(n) == 1 (mod 4).

A384489 Consecutive states of the linear congruential pseudo-random number generator 392314069 * s mod 2^32 when started at s=1.

Original entry on oeis.org

1, 392314069, 3884484921, 1268090989, 4095610545, 2939532613, 4120247913, 1352616285, 3662927457, 371333813, 3840713881, 2970275661, 487491345, 3493879077, 1452026825, 2933230141, 3932967105, 2951638165, 920470521, 3864652333, 1810654065, 1799305477

Offset: 1

Sean A. Irvine, May 30 2025

Periodic with period 2^30.

George S. Fishman, Discrete-Event Simulation: Modeling, Programming, and Analysis, Springer, 2001 (see p. 453).

Sean A. Irvine, Table of n, a(n) for n = 1..10000
George S. Fishman, Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48, Math. Comp., 54, 189 (1990), 331-344.
Index entries for sequences related to pseudo-random numbers.

Cf. A384534.

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

NestList[Mod[392314069*#, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

a(n) = 392314069 * a(n-1) mod 2^32.

cp's OEIS Frontend

A384546 Consecutive states of the linear congruential pseudo-random number generator 1732073221*s mod 2^32 when started at s=1.

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A384547 Consecutive states of the linear congruential pseudo-random number generator 1749966429*s mod 2^32 when started at s=1.

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A384548 Consecutive states of the linear congruential pseudo-random number generator 2304580733*s mod 2^32 when started at s=1.

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A384549 Consecutive states of the linear congruential pseudo-random number generator 2396548189*s mod 2^32 when started at s=1.

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Mathematica

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A384550 Consecutive states of the linear congruential pseudo-random number generator 2824527309*s mod 2^32 when started at s=1.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Maple

Mathematica

Formula

A384551 Consecutive states of the linear congruential pseudo-random number generator 3203713013*s mod 2^32 when started at s=1.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Formula

A384552 Consecutive states of the linear congruential pseudo-random number generator 3934873077*s mod 2^32 when started at s=1.

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Author

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Comments

Links

Crossrefs

Programs

Mathematica

Formula

A384489 Consecutive states of the linear congruential pseudo-random number generator 392314069 * s mod 2^32 when started at s=1.

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