A384569 Consecutive states of the linear congruential pseudo-random number generator (3141592221*s+1) mod 10^10 when started at s=1.

1, 3141592222, 6189305063, 9316714924, 513006205, 2952731306, 1632770627, 460492568, 9457113529, 5820257910, 4269718111, 3380414532, 7486555573, 220997634, 7833805115, 114010416, 6018573937, 1992544078, 5444417239, 5920697820, 4203658221, 6836298842

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) = (3141592221 * a(n-1) + 1) mod 10^10.

Mathematica

NestList[Mod[3141592221*# + 1, 10^10] &, 1, 50] (* Paolo Xausa, Jun 09 2025 *)

Prog

(Python)
from itertools import accumulate, repeat, islice
def A384569_gen(): # generator of terms
    return accumulate(repeat(1), lambda x, y:(3141592221*x+y)%10000000000, initial=1)
A384569_list = list(islice(A384569_gen(), 30)) # Chai Wah Wu, Jun 04 2025

Crossrefs

Cf. A384570, A384571, A384572, A384573.

Sequence in context: A257914 A257893 A015397 * A384567 A384570 A291600

Adjacent sequences: A384566 A384567 A384568 * A384570 A384571 A384572

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 03 2025

Status

approved