cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A382305 Consecutive internal states of the linear congruential pseudo-random number rand48 for Unix when started at 1.

Original entry on oeis.org

1, 25214903928, 206026503483683, 245470556921330, 105707381795861, 223576932655868, 102497929776471, 87262199322646, 266094224901481, 44061996164032, 147838658590923, 157704700760186, 262146585501693, 99421425265860, 6056585619327, 169186298309406
Offset: 1

Views

Author

Sean A. Irvine, Jun 08 2025

Keywords

Comments

Periodic with period 2^48.
A widely used generator because it is included in POSIX glibc.
Also used internally by Java in java.util.Random.
Also provided by the GNU Scientific Library.

Links

Crossrefs

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

Programs

  • Mathematica
    NestList[Mod[25214903917*# + 11, 2^48] &, 1, 30] (* Paolo Xausa, Jun 09 2025 *)

Formula

a(n) = (25214903917 * a(n-1) + 11) mod 2^48.

A382684 Consecutive internal states of the linear congruential pseudo-random number generator for BCPL when started at 1.

Original entry on oeis.org

1, 2862137630, 1410400247, 1369397724, 1652384221, 2669374922, 2140954419, 1701427304, 2594835833, 3034226998, 3288120879, 389815220, 357129941, 541493090, 3104757995, 2854522816, 2013295089, 2081295438, 2466720615, 4256030860, 3056739021, 751492090
Offset: 1

Views

Author

Sean A. Irvine, Jun 02 2025

Keywords

Comments

Periodic with period 2^32.

Links

Crossrefs

Cf. A096550-A096561 (other pseudo-random number generators).
Cf. A084277 (visible state).

Programs

  • Mathematica
    NestList[Mod[2147001325*# + 715136305, 2^32] &, 1, 50] (* Paolo Xausa, Jun 04 2025 *)

Formula

a(n) = (2147001325 * a(n-1) + 715136305) mod 2^32.

A383645 Consecutive internal states of the linear congruential pseudo-random number generator (17405*s+10395331) mod 2^24 when started at s=1.

Original entry on oeis.org

1, 10412736, 16578179, 2262842, 2257173, 4251524, 3870775, 3934750, 10123369, 13310344, 356907, 14791746, 14354941, 11842764, 8826975, 14928294, 8608209, 15734096, 7839443, 6803018, 3333093, 7266068, 9654663, 9209390, 10306617, 15070744, 4922491, 5109074
Offset: 1

Views

Author

Sean A. Irvine, May 23 2025

Keywords

Comments

Periodic with period 2^24.
This random number generator was used by some versions of IBM BASIC (Schneider).

References

  • David I. Schneider, Handbook of BASIC (3rd ed.), Simon & Schuster, 1988 (see p. 497).

Links

Crossrefs

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

Programs

  • Mathematica
    NestList[Mod[17405*# + 10395331, 2^24] &, 1, 50] (* Paolo Xausa, May 26 2025 *)

Formula

a(n) = (17405 * a(n-1) + 10395331) mod 2^24.

A384082 Consecutive states of the linear congruential pseudo-random number generator (61*s+323) mod 500 when started at s=1.

Original entry on oeis.org

1, 384, 247, 390, 113, 216, 499, 262, 305, 428, 431, 114, 277, 220, 243, 146, 229, 292, 135, 58, 361, 344, 307, 50, 373, 76, 459, 322, 465, 188, 291, 74, 337, 380, 3, 6, 189, 352, 295, 318, 221, 304, 367, 210, 133, 436, 419, 382, 125, 448, 151, 34, 397, 40
Offset: 1

Views

Author

Sean A. Irvine, May 18 2025

Keywords

Comments

Periodic with period length 500.
Originally defined by Lamie in the form (61*s+2323) mod 500, even though 2323 > 500.

References

  • Edward L. Lamie, Pascal Programming, John Wiley and Sons, 1987 (see p. 150).

Links

Crossrefs

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

Programs

  • Maple
    a:= proc(n) option remember; `if`(n<2, n,
      irem(61*a(n-1)+323, 500))
    end:
seq(a(n), n=1..54);  # Alois P. Heinz, May 21 2025
  • Mathematica
    NestList[Mod[61*# + 323, 500] &, 1, 100] (* Paolo Xausa, May 19 2025 *)

Formula

a(n) = (61*a(n-1) + 323) mod 500.

A384085 Consecutive states of the linear congruential pseudo-random number generator (40*s+725) mod 729 when started at s=1.

Original entry on oeis.org

1, 36, 707, 574, 357, 425, 229, 408, 278, 181, 675, 23, 187, 186, 146, 4, 156, 404, 118, 342, 554, 286, 501, 353, 265, 390, 287, 541, 495, 113, 142, 573, 317, 283, 381, 656, 721, 405, 158, 484, 402, 38, 58, 129, 53, 658, 72, 689, 583, 717, 245, 319, 363, 665
Offset: 1

Views

Author

Sean A. Irvine, May 18 2025

Keywords

Comments

Periodic with period 729.
Originally defined by Savitch in the form (40*s+3641) mod 729, even though 3641 > 729.

References

  • Walter J. Savitch, Pascal: An Introduction to the Art and Science of Programming, Benjamin Cummings, 1984 (see p. 244).

Links

Crossrefs

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

Programs

  • Maple
    a:= proc(n) option remember; `if`(n<2, n,
      irem(40*a(n-1)+725, 729))
    end:
seq(a(n), n=1..54);  # Alois P. Heinz, May 18 2025
  • Mathematica
    NestList[Mod[40*# + 725, 729] &, 1, 100] (* Paolo Xausa, May 22 2025 *)

Formula

a(n) = (40*a(n-1) + 725) mod 729.

A384220 Consecutive states of the linear congruential pseudo-random number generator for Smalltalk-80 when started at 1.

Original entry on oeis.org

1, 41030, 24167, 29748, 11069, 4562, 19459, 53408, 8761, 54302, 60255, 60364, 8437, 29482, 55419, 12728, 9073, 15094, 28503, 52836, 58797, 14210, 52211, 44496, 58281, 13518, 51791, 31740, 22885, 48858, 1643, 42216, 17121, 8614, 56391, 21652, 23581, 26930
Offset: 1

Views

Author

Sean A. Irvine, May 22 2025

Keywords

Comments

Periodic with period 2^16.
This generator was widely used with Smalltalk-80 due to the Goldberg and Robson book.

References

  • Adele Goldberg and David Robson, Smalltak-80: The Language and Its Implementation, Addison-Wesley, 1983 (see p. 152).

Links

Crossrefs

Cf. A383940 (similar generator for Pascal).
Cf. A096550-A096561 other pseudo-random number generators.

Programs

  • Mathematica
    NestList[Mod[27181*# + 13849, 2^16] &, 1, 50] (* Paolo Xausa, May 23 2025 *)

Formula

a(n) = (27181 * a(n-1) + 13849) mod 2^16.

A384316 Consecutive states of the linear congruential pseudo-random number generator 3125*s mod 2^26 when started at s=1.

Original entry on oeis.org

1, 3125, 9765625, 50153869, 31643185, 33596453, 30652329, 24179197, 62518625, 16800021, 20933977, 54644589, 39390609, 17996549, 1987593, 37212637, 56938177, 26204661, 16751545, 3664205, 42133745, 361957, 57373801, 45352381, 59378721, 2494165, 9637401, 52107053
Offset: 1

Views

Author

Sean A. Irvine, May 25 2025

Keywords

Comments

Periodic with period 2^24 (considerably less than the modulus).

Links

Crossrefs

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

Programs

  • Mathematica
    NestList[Mod[3125*#, 2^26] &, 1, 50] (* Paolo Xausa, May 27 2025 *)

Formula

a(n) = 3125 * a(n-1) mod 2^26.

A384448 Consecutive states of the linear congruential pseudo-random number generator for the INMOS Transputer when started at 1.

Original entry on oeis.org

1, 1664525, 389569705, 2940799637, 158984081, 2862450781, 3211393721, 1851289957, 3934847009, 2184914861, 246739401, 1948736821, 2941245873, 4195587069, 4088025561, 980655621, 2001863745, 657792333, 65284841, 1282409429, 3808694225, 2968195997, 2417331449
Offset: 1

Views

Author

Sean A. Irvine, May 29 2025

Keywords

Comments

Periodic with period 2^30.

Links

Crossrefs

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

Programs

  • Mathematica
    NestList[Mod[1664525*#, 2^32] &, 1, 50] (* Paolo Xausa, May 30 2025 *)

Formula

a(n) = 1664525 * a(n-1) mod 2^32.

A384567 Consecutive states of the linear congruential pseudo-random number generator for the Atari ST when started at 1.

Original entry on oeis.org

1, 3141592622, 1588972055, 1279602700, 1481914909, 3913565466, 2610266515, 1903286488, 936717817, 3104230086, 4091513039, 469042788, 2999973781, 54420274, 4053162955, 3383133360, 3380310769, 456637022, 465319559, 936566716, 2283027469, 2613197898, 63902979
Offset: 1

Views

Author

Sean A. Irvine, Jun 03 2025

Keywords

Comments

Periodic with period 2^32.

References

  • Megamax Inc., Laser C: C Language Development System, Atari ST, 1988 (see p. 514).

Links

Crossrefs

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

Programs

  • Mathematica
    NestList[Mod[3141592621*# + 1, 2^32] &, 1, 50] (* Paolo Xausa, Jun 05 2025 *)

Formula

a(n) = (3141592621 * a(n-1) + 1) mod 2^32.

A384608 Consecutive states of the linear congruential pseudo-random number generator (129*s+27098671125) mod 2^35 when started at s=1.

Original entry on oeis.org

1, 27098671254, 18133949355, 29915928896, 3603063125, 10857477098, 18963943679, 33905981588, 2923784873, 26309797694, 19448475219, 27691073512, 25834363901, 26836992658, 18737148839, 4649447228, 8402072913, 11454449126, 27253858555, 3793372816, 1047688869
Offset: 1

Views

Author

Sean A. Irvine, Jun 04 2025

Keywords

Comments

Periodic with period 2^35.
The first set of numbers on p. 156 of Hirsh is reproduced by s/2^35 starting with s=4818528277.

References

  • Seymour C. Hirsh, BASIC Programming Self-Taught, Reston Pub Co, Reston, VA, 1980 (see p. 156).
  • Donald E. Knuth, The Art of Computer Programming, Vol 2: Seminumerical Algorithms (3rd ed.), Addison-Wesley, 1998 (see p. 106).

Links

Crossrefs

Cf. A096550-A096561 for other pseudo-random number generators.
Cf. A384387, A384565.

Programs

  • Maple
    a:= proc(n) option remember; `if`(n<2, n,
      irem(129*a(n-1)+27098671125, 2^35))
    end:
seq(a(n), n=1..21);  # Alois P. Heinz, Jun 04 2025
  • Mathematica
    NestList[Mod[129*# + 27098671125, 2^35] &, 1, 30] (* Paolo Xausa, Jun 12 2025 *)

Formula

a(n) = (129*a(n-1) + 27098671125) mod 2^35.
Previous Showing 41-50 of 70 results. Next

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