A384571 Consecutive states of the linear congruential pseudo-random number generator (4160984121*s+1) mod 10^10 when started at s=1.

1, 4160984122, 9375126763, 3205130324, 3899585205, 6491529806, 3764210527, 948041768, 2692765929, 2138813410, 6791862611, 6384599932, 5989679773, 5327884534, 4495484615, 9214798416, 7191952337, 3245840778, 6552286139, 627398820, 7554137221, 4436067742

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) = (4160984121 * a(n-1) + 1) mod 10^10.

Mathematica

NestList[Mod[4160984121*# + 1, 10^10] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Crossrefs

Cf. A384569, A384570, A384572, A384573.

Sequence in context: A038831 A038820 A198161 * A244064 A384572 A255344

Adjacent sequences: A384568 A384569 A384570 * A384572 A384573 A384574

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 03 2025

Status

approved