cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A384775 Consecutive states of the linear congruential pseudo-random number generator 33952834046453*s mod 2^48 when started at 1.

This page as a plain text file.
%I A384775 #18 Jun 11 2025 10:11:54
%S A384775 1,33952834046453,181226512753785,17547632994509,138001340383537,
%T A384775 86153482263781,229799995061289,280681352600637,119513974041441,
%U A384775 216025667693781,238363414258905,47318339740845,113868956675729,85138704755141,217581192963721,88846792569373
%N A384775 Consecutive states of the linear congruential pseudo-random number generator 33952834046453*s mod 2^48 when started at 1.
%C A384775 Periodic with period 2^46.
%H A384775 Sean A. Irvine, <a href="/A384775/b384775.txt">Table of n, a(n) for n = 1..10000</a>
%H A384775 George S. Fishman, <a href="https://doi.org/10.2307/2008698">Multiplicative Congruential Random Number Generators with Modulus 2^beta: An Exhaustive Analysis for beta = 32 and a Partial Analysis for beta = 48</a>, Math. Comp., 54, 189 (1990), 331-344.
%H A384775 <a href="/index/Ps#PRN">Index entries for sequences related to pseudo-random numbers</a>.
%F A384775 a(n) = 33952834046453 * a(n-1) mod 2^48.
%p A384775 a:= proc(n) option remember; `if`(n<2, n,
%p A384775       irem(33952834046453*a(n-1), 2^48))
%p A384775     end:
%p A384775 seq(a(n), n=1..16);  # _Alois P. Heinz_, Jun 09 2025
%t A384775 NestList[Mod[33952834046453*#, 2^48] &, 1, 30] (* _Paolo Xausa_, Jun 11 2025 *)
%Y A384775 Cf. A384696, A384746, A384776, A384778, A384779, A384780.
%Y A384775 Cf. A384546, A384547, A384548, A384549, A384550, A384551, A384552.
%K A384775 nonn,easy
%O A384775 1,2
%A A384775 _Sean A. Irvine_, Jun 09 2025