A384361 -id:A384361 - cp's OEIS frontend

A384416 Consecutive internal states of the linear congruential pseudo-random number generator of the HP 48 series calculators when started at 1.

1, 2851130928467, 261097470970089, 335429755623563, 468090732667921, 287888716607107, 194022960814969, 298923961822523, 84062462462241, 191517259514547, 165777802909449, 436661297384683, 996040654470961, 669370619746787, 188023750085529, 201468430854043, 677208350742081

Offset: 1

Paolo Xausa, May 28 2025

To initialize the seed to 1, use the RDZ command with an argument between 10^-16 and 10^-13 (for example, "1E-13 RDZ"). Successive executions of the RAND command give the terms of this sequence (divided by 10^15 and truncated to 12 significant digits).
After a memory clean, the calculators use the seed 999500333083533 (cf. A384361).
See the Meyers link for more information.
Periodic with period 10^14/2.

Paolo Xausa, Table of n, a(n) for n = 1..10000
John Meyers, Random thoughts on HP48 random functions, comp.sys.hp48 Google group, 1997.
Steve VanDevender and Detlef Mueller, How RAND Works, hpcalc.org, 1992.
Index entries for sequences related to pseudo-random numbers.

Cf. A384361 (starting at the default seed).

Cf. other pseudo-random number generators: A096550-A096561, A381318, A382535, A383809, A384081, A384221.

NestList[Mod[2851130928467*#, 10^15] &, 1, 20]

a(1) = 1; for n > 1, a(n) = 2851130928467*a(n-1) mod 10^15.

A384568 Consecutive states of the linear congruential pseudo-random number generator for the Hewlett Packard HP-11C when started at 1.

Original entry on oeis.org

1, 2592332694, 9081101567, 5395073420, 8055983053, 5086213266, 6273274859, 9159086632, 8802055385, 7839955918, 6661611031, 9575371524, 9742396197, 1322731850, 9762193283, 8428043296, 9881472689, 954880262, 481952815, 5008545148, 9092360061, 879428354

Offset: 1

Sean A. Irvine, Jun 03 2025

Periodic with period 10^10.

Also used by other Hewlett Packard calculators, such as the HP-15C.

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

Cf. A384081, A384221, A384361, A384416.

NestList[Mod[1574352261*# + 1017980433, 10^10] &, 1, 50] (* Paolo Xausa, Jun 05 2025 *)

a(n) = (1574352261 * a(n-1) + 1017980433) mod 10^10.

cp's OEIS Frontend

A384416 Consecutive internal states of the linear congruential pseudo-random number generator of the HP 48 series calculators when started at 1.

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