A384373 Consecutive internal states of the linear congruential pseudo-random number generator 131075*s mod 2^27 when started at s=1.

1, 131075, 786441, 3538971, 14155857, 53084403, 56885977, 131991691, 11540897, 89279715, 29157033, 42513403, 126884849, 110253011, 56425337, 17363563, 133224257, 106202563, 109285705, 102544347, 34347921, 88494771, 87619609, 131917899, 2930913, 38283939

Offset

1,2

Comments

Periodic with period 2^25.

The numbers on p. 142 of Albrecht et al. are given by s/2^27 using this generator starting from s=69782861.

References

Robert L. Albrecht, LeRoy Finkel, and Jerald R. Brown, BASIC: A Self-Teaching Guide (2nd ed.), John Wiley & Sons, 1978 (see p. 142).

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) = 131075 * a(n-1) mod 2^27.

Mathematica

NestList[Mod[131075*#, 2^27] &, 1, 50] (* Paolo Xausa, May 28 2025 *)

Crossrefs

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

Sequence in context: A017697 A013965 A036095 * A214290 A187939 A234687

Adjacent sequences: A384370 A384371 A384372 * A384374 A384375 A384376

Keyword

nonn,easy

Author

Sean A. Irvine, May 27 2025

Status

approved