A382535 -id:A382535 - cp's OEIS frontend

A384361 Consecutive internal states of the linear congruential pseudo-random number generator of the HP 48 series calculators when started at 999500333083533.

999500333083533, 529199358633911, 43582181444437, 294922982088079, 41089642444893, 284830972469031, 786870433805477, 40703079813759, 869103111377453, 156083179654551, 561556952003317, 315753873725039, 722319935785213, 518159379358471, 201897051493957, 715330849773919

Offset: 1

Paolo Xausa, May 27 2025

The initial 999500333083533 seed is the one used by the calculators after a memory clean; successive executions of the RAND command give the terms of this sequence (divided by 10^15 and truncated to 12 significant digits).
See links for more information.

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. A384416 (starting at 1).

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

NestList[Mod[2851130928467*#, 10^15] &, 999500333083533, 15]

a(1) = 999500333083533; for n > 1, a(n) = 2851130928467*a(n-1) mod 10^15.

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

Original entry on oeis.org

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.

cp's OEIS Frontend

A384361 Consecutive internal states of the linear congruential pseudo-random number generator of the HP 48 series calculators when started at 999500333083533.

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