A382305 Consecutive internal states of the linear congruential pseudo-random number rand48 for Unix when started at 1.

1, 25214903928, 206026503483683, 245470556921330, 105707381795861, 223576932655868, 102497929776471, 87262199322646, 266094224901481, 44061996164032, 147838658590923, 157704700760186, 262146585501693, 99421425265860, 6056585619327, 169186298309406

Offset: 1

Author

Sean A. Irvine, Jun 08 2025

Keywords

• nonn
• easy

Comments

Periodic with period 2^48.

A widely used generator because it is included in POSIX glibc.

Also used internally by Java in java.util.Random.

Also provided by the GNU Scientific Library.

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..10000
• Mark Galassi, Jim Davies, James Theiler, Brian Gough, Gerard Jungman, Michael Booth, and Fabrice Rossi, GNU Scientific Library: Reference Manual, 2003 (see p. 184).
• B. D. Ripley, Thoughts on pseudorandom number generators, J of Computational and Applied Mathematics, 31, 1 (1990), 153-163.
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

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

Programs

Mathematica

NestList[Mod[25214903917*# + 11, 2^48] &, 1, 30] (* Paolo Xausa, Jun 09 2025 *)

Formula

a(n) = (25214903917 * a(n-1) + 11) mod 2^48.