A384551 -id:A384551 - 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.

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).

A384696 Consecutive states of the linear congruential pseudo-random number generator Cray RANF when started at 1.

Original entry on oeis.org

1, 44485709377909, 232253848878969, 94800993741645, 243522309605169, 20783065360997, 154093299791145, 161954398135485, 183663036741473, 207319719370837, 142356556532697, 278312552510253, 242082341486737, 37630394630981, 176334633251721, 233894773868189

Offset: 1

Sean A. Irvine, Jun 07 2025

Periodic with period 2^46.
Also implemented in the GNU Scientific Library as gsl_rng_ranf.
Also implemented in PASCLIB for Pascal programs on the CDC Cyber computers.

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.
Mark Galassi, Jim Davies, James Theiler, Brian Gough, Gerard Jungman, Michael Booth, and Fabrice Rossi, GNU Scientific Library: Reference Manual, 2003 (see p. 181).
B. D. Ripley, Computer Generation of Random Variables: A Tutorial, International Statistical Review, 51 (1983), 301-309.
Index entries for sequences related to pseudo-random numbers.

Cf. A384746, A384775, A384776, A384778, A384779, A384780.
Cf. A384546, A384547, A384548, A384549, A384550, A384551, A384552
Cf. A096550-A096561 other pseudo-random number generators.

a:= proc(n) option remember; `if`(n<2, n,
      irem(44485709377909*a(n-1), 2^48))
    end:
seq(a(n), n=1..16);  # Alois P. Heinz, Jun 09 2025

NestList[Mod[44485709377909*#, 2^48] &, 1, 30] (* Paolo Xausa, Jun 11 2025 *)

a(n) = 44485709377909 * a(n-1) mod 2^48.

A384775 Consecutive states of the linear congruential pseudo-random number generator 33952834046453*s mod 2^48 when started at 1.

Original entry on oeis.org

1, 33952834046453, 181226512753785, 17547632994509, 138001340383537, 86153482263781, 229799995061289, 280681352600637, 119513974041441, 216025667693781, 238363414258905, 47318339740845, 113868956675729, 85138704755141, 217581192963721, 88846792569373

Offset: 1

Sean A. Irvine, Jun 09 2025

Periodic with period 2^46.

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. A384696, A384746, A384776, A384778, A384779, A384780.

Cf. A384546, A384547, A384548, A384549, A384550, A384551, A384552.

a:= proc(n) option remember; `if`(n<2, n,
      irem(33952834046453*a(n-1), 2^48))
    end:
seq(a(n), n=1..16);  # Alois P. Heinz, Jun 09 2025

NestList[Mod[33952834046453*#, 2^48] &, 1, 30] (* Paolo Xausa, Jun 11 2025 *)

a(n) = 33952834046453 * a(n-1) mod 2^48.

A384776 Consecutive states of the linear congruential pseudo-random number generator 43272750451645*s mod 2^48 when started at 1.

Original entry on oeis.org

1, 43272750451645, 61318499813769, 79085427649829, 68025911569233, 83056068785613, 355731277657, 91085083377589, 166436801793953, 88719099065565, 111268338599465, 46775231680325, 152215507893489, 127293649213677, 121144755885561, 62037290331093

Offset: 1

Sean A. Irvine, Jun 09 2025

Periodic with period 2^46.

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. A384696, A384746, A384775, A384778, A384779, A384780.

Cf. A384546, A384547, A384548, A384549, A384550, A384551, A384552.

a:= proc(n) option remember; `if`(n<2, n,
      irem(43272750451645*a(n-1), 2^48))
    end:
seq(a(n), n=1..16);  # Alois P. Heinz, Jun 09 2025

NestList[Mod[43272750451645*#,2^48] &, 1, 30] (* Paolo Xausa, Jun 11 2025 *)

a(n) = 43272750451645 * a(n-1) mod 2^48.

A384778 Consecutive states of the linear congruential pseudo-random number generator 55151000561141*s mod 2^48 when started at 1.

Original entry on oeis.org

1, 55151000561141, 29815832362105, 55100342394061, 179741519900977, 7132195055845, 74704892394537, 220210368430141, 73887840684897, 135379684698325, 280350175386841, 124994015967405, 227696133324433, 118996703729093, 242320442691209, 24065948923421

Offset: 1

Sean A. Irvine, Jun 09 2025

Periodic with period 2^46.

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. A384696, A384746, A384775, A384776, A384779, A384780.

Cf. A384546, A384547, A384548, A384549, A384550, A384551, A384552.

a:= proc(n) option remember; `if`(n<2, n,
      irem(55151000561141*a(n-1), 2^48))
    end:
seq(a(n), n=1..16);  # Alois P. Heinz, Jun 09 2025

NestList[Mod[55151000561141*#, 2^48] &, 1, 30] (* Paolo Xausa, Jun 11 2025 *)

a(n) = 55151000561141 * a(n-1) mod 2^48.

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

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Maple

Mathematica

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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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Crossrefs

Programs

Mathematica

Formula

A384696 Consecutive states of the linear congruential pseudo-random number generator Cray RANF when started at 1.

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Programs

Maple

Mathematica

Formula

A384775 Consecutive states of the linear congruential pseudo-random number generator 33952834046453*s mod 2^48 when started at 1.

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