A384397 - OEIS

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A384397

Consecutive states of the linear congruential pseudo-random number generator 45742*s mod (2^31-909) when started at s=1.

7

1, 45742, 2092330564, 521429475, 1283746116, 346822856, 916086159, 1929881610, 71652547, 472145160, 1777485336, 2037740772, 997589268, 2015058584, 703108709, 897067814, 1723253915, 1726644935, 72441828, 68230099, 688768691, 2085682592, 1372443189, 933442051

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OFFSET

1,2

COMMENTS

Periodic with period 2^31-910.

LINKS

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

Pierre L'Ecuyer, Efficient and portable combined random number generators, Commun. ACM, 31, 6 (1988), 742-749 and 774.

Index entries for sequences related to pseudo-random numbers.

FORMULA

a(n) = 45742 * a(n-1) mod (2^31-909).

MATHEMATICA

NestList[Mod[45742*#, 2^31 - 909] &, 1, 50] (* Paolo Xausa, May 29 2025 *)

CROSSREFS

Cf. A384398, A384399, A384400, A384401, A384402.

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

Sequence in context: A202915 A257358 A232255 * A031841 A031635 A159725

Adjacent sequences: A384394 A384395 A384396 * A384398 A384399 A384400

KEYWORD

nonn,easy

AUTHOR

Sean A. Irvine, May 27 2025

STATUS

approved