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.

A306779 Table read by rows: T(n,k) is the length of the longest non-intersecting loop starting at (0,0) on the n X k torus consisting of steps up and to the right, 1 <= k <= n.

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%I A306779 #17 Oct 28 2021 07:10:25
%S A306779 1,2,4,3,5,9,4,8,11,16,5,9,14,19,25,6,12,18,24,29,36,7,13,19,27,33,41
%N A306779 Table read by rows: T(n,k) is the length of the longest non-intersecting loop starting at (0,0) on the n X k torus consisting of steps up and to the right, 1 <= k <= n.
%C A306779 Conjecture: T(n,k) = n*k if and only if k = 1 or gcd(n,k) > 1.
%e A306779 Table begins:
%e A306779   1;
%e A306779   2,  4;
%e A306779   3,  5,  9;
%e A306779   4,  8, 11, 16;
%e A306779   5,  9, 14, 19, 25;
%e A306779   6, 12, 18, 24, 29, 36;
%Y A306779 Cf. A324604.
%K A306779 tabl,nonn,more,walk
%O A306779 1,2
%A A306779 _Peter Kagey_, Mar 09 2019