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.

A229591 Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

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%I A229591 #8 Apr 27 2021 21:23:14
%S A229591 0,5632,119232,2440692,47091780,890824020,16551428868,303527605644,
%T A229591 5505540489756,98960332779288,1765177724896272,31280718324457188,
%U A229591 551219288985891468,9666198588289311180,168785901193243289256
%N A229591 Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.
%C A229591 Row 6 of A229586.
%H A229591 R. H. Hardin, <a href="/A229591/b229591.txt">Table of n, a(n) for n = 1..210</a>
%F A229591 Empirical: a(n) = 60*a(n-1) - 1466*a(n-2) + 19056*a(n-3) - 143515*a(n-4) + 608478*a(n-5) - 957350*a(n-6) - 3924114*a(n-7) + 27201539*a(n-8) - 68079378*a(n-9) + 46537423*a(n-10) + 212613240*a(n-11) - 785654632*a(n-12) + 1389943104*a(n-13) - 1544105168*a(n-14) + 1125401088*a(n-15) - 524553472*a(n-16) + 142135296*a(n-17) - 17040384*a(n-18) for n > 26.
%e A229591 Some solutions for n=3:
%e A229591   0 1 0   0 1 2   0 1 2   0 1 0   0 1 2   0 1 2   0 0 1
%e A229591   0 2 1   2 0 1   2 0 2   2 1 2   0 1 0   0 1 2   1 2 1
%e A229591   2 0 2   2 0 1   1 1 2   2 0 1   0 2 0   2 0 0   0 2 0
%e A229591   2 1 2   2 1 0   0 1 0   2 0 0   1 2 1   2 1 0   0 2 1
%e A229591   2 1 2   0 2 0   2 1 0   1 2 1   0 1 2   2 1 0   1 0 2
%e A229591   0 1 0   0 2 1   0 1 0   1 2 1   0 1 0   0 1 2   2 0 2
%Y A229591 Cf. A229586.
%K A229591 nonn
%O A229591 1,2
%A A229591 _R. H. Hardin_, Sep 26 2013