close
login
A385362
Consecutive states of the linear congruential pseudo-random number generator (2041*s + 25673) mod 121500 when started at s=1.
1
1, 27714, 92447, 20500, 70173, 266, 82579, 48912, 103565, 113338, 12531, 86444, 39877, 9630, 119003, 32296, 88809, 6842, 17695, 55668, 41561, 44674, 80307, 28760, 40333, 89826, 17039, 53272, 11325, 54998, 10591, 14904, 69737, 82390, 27663, 109856, 74269, 98202
OFFSET
1,2
COMMENTS
Periodic with period 121500.
Described in Numerical Recipes as a "quick and dirty" generator.
FORMULA
a(n) = (2041 * a(n-1) + 25673) mod 121500.
MAPLE
a:= proc(n) option remember; `if`(n<2, n,
irem(2041*a(n-1)+25673, 121500))
end:
seq(a(n), n=1..44); # after Alois P. Heinz
MATHEMATICA
NestList[Mod[2041*# + 25673, 121500] &, 1, 50] (* after Paolo Xausa *)
PROG
(Magma) [n le 1 select 1 else (2041*Self(n-1)+ 25673) mod 121500: n in [1..40]]; // Vincenzo Librandi, Jun 27 2025
CROSSREFS
Sequence in context: A202589 A079321 A251235 * A391947 A023198 A230608
KEYWORD
nonn,look,easy
AUTHOR
Sean A. Irvine, Jun 26 2025
STATUS
approved