A384217 -id:A384217 - cp's OEIS frontend

A384387 Consecutive states of the linear congruential pseudo-random number generator (13493037709*s+7261067085) mod 2^35 when started at s=1.

1, 20754104794, 34326110303, 33058783648, 5709053037, 32799031638, 11541606315, 32442345084, 2725994905, 16337875602, 5290419639, 32195142424, 16205355909, 13352325518, 14174310019, 8003654516, 31661086257, 1566661194, 21726656015, 17779217296, 34005826973

Offset: 1

Sean A. Irvine, May 29 2025

Periodic with period 2^35.

Proposed by Dyck et al. for FORTRAN 77 on Honeywell computers.

V. A. Dyck, J. D. Lawson, and J. A. Smith, FORTRAN 77: An Introduction to Structured Problem Solving, Reston Pub. Co., 1984 (see p. 467).

Sean A. Irvine, Table of n, a(n) for n = 1..10000
Index entries for sequences related to pseudo-random numbers.

Cf. A384217.

a:= proc(n) option remember; `if`(n<2, n,
      irem(13493037709*a(n-1)+7261067085, 2^35))
    end:
seq(a(n), n=1..21);  # Alois P. Heinz, May 29 2025

NestList[Mod[13493037709*# + 7261067085, 2^35] &, 1, 50] (* Paolo Xausa, May 30 2025 *)

a(n) = (13493037709 * a(n-1) + 7261067085) mod 2^35.

A384863 Consecutive states of the linear congruential pseudo-random number generator G05CAF when started at s=1.

Original entry on oeis.org

1, 302875106592253, 458357793578900489, 130117127544889829, 214028503895537745, 129723886062288141, 506561892515206873, 27366493393768821, 104092279467936161, 249472354291378461, 22695394996597417, 331563264261234181, 550296776567063537, 359770781871757869

Offset: 1

Sean A. Irvine, Jun 10 2025

Periodic with period 2^57.

This is the generator used by the G05CAF routine in the Fortran NAG library.

Sean A. Irvine, Table of n, a(n) for n = 1..10000
NAG, G05CAF, NAG Fortran Library Routine Document.
B. D. Ripley, Computer Generation of Random Variables: A Tutorial, International Statistical Review, 51 (1983), 301-309.
Index entries for sequences related to pseudo-random numbers.

Cf. A384217, A384387 (other Fortran pseudo-random number generators).

NestList[Mod[13^13*#, 2^59] &, 1, 20] (* Paolo Xausa, Jun 11 2025 *)

a(n) = 13^13 * a(n-1) mod 2^59.

cp's OEIS Frontend

A384387 Consecutive states of the linear congruential pseudo-random number generator (13493037709*s+7261067085) mod 2^35 when started at s=1.

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