A384645 Consecutive states of the linear congruential pseudo-random number generator HSRPUN when started at 1.

1, 3418906842, 8274876767, 11636484000, 6772886125, 17960856150, 33658810027, 33635241596, 6134001049, 12062168466, 17176042167, 27491204376, 18560177541, 31970401934, 4441762179, 1351356276, 30265814577, 5092081994, 21499143951, 17730019728, 16438010781

Offset

1,2

Comments

Periodic with period 2^35.

The is the generator HSRPUN from the BCSLIB (Boeing Computer Services Library).

References

D. E. Knuth, The Art of Computer Programming Third Edition, Vol. 2: Seminumerical Algorithms, Addison-Wesley 1997.

Links

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

Stuart L. Anderson, Random Number Generators on Vector Supercomputers and Other Advanced Architectures, SIAM Review, 32, 2 (1990), 221-251.

Index entries for sequences related to pseudo-random numbers.

Formula

a(n) = (5^15*a(n-1) + 7261067085) mod 2^35.

Mathematica

NestList[Mod[5^15*# + 7261067085, 2^35] &, 1, 30] (* Paolo Xausa, Jun 12 2025 *)

Crossrefs

Cf. A384643 (same multiplier).

Sequence in context: A391999 A282401 A063412 * A184672 A038686 A017086

Adjacent sequences: A384642 A384643 A384644 * A384646 A384647 A384648

Keyword

nonn,easy

Author

Sean A. Irvine, Jun 05 2025

Status

approved