A384572 Consecutive states of the linear congruential pseudo-random number generator (4219755981*s+1) mod 10^10 when started at s=1.

1, 4219755982, 3405028343, 5848769484, 1599283805, 1465187706, 5681169587, 3818549848, 9844640889, 2154907110, 5921924911, 2225142692, 3145440853, 2328491794, 4440919915, 2463261616, 6883725297, 3576751358, 5470372199, 5026372220, 8077247821, 2683967402

Offset

1,2

Comments

Periodic with period 10^10.

References

Donald E. Knuth, The Art of Computer Programming, Vol 2: Seminumerical Algorithms (3rd ed.), Addison-Wesley, 1998 (see p. 106).

Links

Sean A. Irvine, Table of n, a(n) for n = 1..10000

Index entries for sequences related to pseudo-random numbers.

Formula

a(n) = (4219755981 * a(n-1) + 1) mod 10^10.

Mathematica

NestList[Mod[4219755981*# + 1, 10^10] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Crossrefs

Cf. A384569, A384570, A384571, A384573.

Sequence in context: A198161 A384571 A244064 * A255344 A186590 A186599

Adjacent sequences: A384569 A384570 A384571 * A384573 A384574 A384575

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 03 2025

Status

approved