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.

A334500 For 0 <= R <= 255, let s(R,n) = eventual period of a single cell in a Rule R cellular automaton operating in a cyclic universe of width n; a(n) is the nearest integer to max_R s(R,n)/n (rounded down in case of ties).

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%I A334500 #25 Oct 21 2022 14:29:22
%S A334500 2,1,2,2,6,3,18,5,56,43,89,8,63,157,455,376,4636,434,9680,7129,16804,
%T A334500 5585,70904,7710,111082,12006,3025488,10890,15977515,197395,39066498,
%U A334500 832400,100470231,1176843,707225531,3758959,1096841389,14082900,3408522124,98420590
%N A334500 For 0 <= R <= 255, let s(R,n) = eventual period of a single cell in a Rule R cellular automaton operating in a cyclic universe of width n; a(n) is the nearest integer to max_R s(R,n)/n (rounded down in case of ties).
%C A334500 Nearest integer to A334499(n)/n.
%D A334500 Bradley Klee, Posting to Math Fun Mailing List, Apr 26 2020
%H A334500 Bradley Klee, <a href="/A334499/a334499.txt">Table giving R, then {s(R,1)..s(R,10)} for 0 <= R <= 255</a>
%e A334500 For R = 45, the sequence {s(R,1)..s(R,10)} is 2,2,1,2,30,18,126,2,504,430 (see A334508), and s(45,10) = 430 is the greatest value of any s(R,10), so a(10) = 430/10 = 430.
%Y A334500 Cf. A085587, A180001, A334496, A334499-A334515, A357867.
%K A334500 nonn
%O A334500 1,1
%A A334500 _N. J. A. Sloane_, May 05 2020
%E A334500 a(11)-a(40) (based on data in A334499) from _Pontus von Brömssen_, Oct 15 2022