A385036 - OEIS

A385036

Consecutive states of the linear congruential pseudo-random number generator (419*s + 6173) mod 29282 when started at s=1.

1, 6592, 15713, 1470, 7181, 28248, 12157, 4888, 4505, 19720, 11329, 9340, 25127, 22148, 3791, 13374, 17017, 20770, 12049, 18200, 18653, 3486, 2707, 27690, 12611, 19422, 3595, 19096, 13411, 3238, 15923, 1614, 8953, 9384, 14281, 16384, 19081, 7126, 5203, 19362

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OFFSET

1,2

COMMENTS

Periodic with period 29282.

Described in Numerical Recipes as a "quick and dirty" generator.

REFERENCES

William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, Numerical Recipes in C (2nd ed), Cambridge University Press, 1999 (see p. 285).

LINKS

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

W. E. Sharp and Carter Bays, A review of portable random number generators, Computers and Geosciences, 18, 1 (1982), 79-87.

Index entries for sequences related to pseudo-random numbers.

Index entries for linear recurrences with constant coefficients, order 29282.

FORMULA

a(n) = (419 * a(n-1) + 6173) mod 29282.

MAPLE

a:= proc(n) option remember; `if`(n<2, n,

irem(419*a(n-1)+6173, 29282))

end:

seq(a(n), n=1..44); # after Alois P. Heinz