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

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

Offset

1,2

Comments

Periodic with period 2^57.

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

Links

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.

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A179660 A080125 A367001 * A204350 A172592 A082589

Adjacent sequences: A384860 A384861 A384862 * A384864 A384865 A384866

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 10 2025

Status

approved