A384570 Consecutive states of the linear congruential pseudo-random number generator (3141592621*s+1) mod 10^10 when started at s=1.

1, 3141592622, 9463242263, 4176141324, 7731570205, 4771457306, 3946139027, 8663319768, 6512231929, 4386995910, 9213180111, 2661560932, 4313082773, 3419018034, 6680327115, 350218416, 1443908337, 6919581278, 3374549639, 5080613820, 7062622221, 4404231242

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) = (3141592621 * a(n-1) + 1) mod 10^10.

Mathematica

NestList[Mod[3141592621*# + 1, 10^10] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Crossrefs

Cf. A384567, A384569, A384571, A384572, A384573.

Sequence in context: A015397 A384569 A384567 * A291600 A092380 A096566

Adjacent sequences: A384567 A384568 A384569 * A384571 A384572 A384573

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 03 2025

Status

approved