cp's OEIS Frontend

A223436 Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 4 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

%I A223436 #6 Aug 19 2022 14:42:26
%S A223436 432,7424,147520,3099264,67182208,1485628224,33277934848,751557814208,
%T A223436 17060996532992,388541047749184,8866017102928512,202557753134780608,
%U A223436 4631201059795429632,105934451744168513600,2423832070620348866432
%N A223436 Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 4 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.
%C A223436 Column 4 of A223440.
%H A223436 R. H. Hardin, <a href="/A223436/b223436.txt">Table of n, a(n) for n = 1..210</a>
%F A223436 Empirical: a(n) = 37*a(n-1) -272*a(n-2) -2014*a(n-3) +20537*a(n-4) -19463*a(n-5) -166878*a(n-6) +279708*a(n-7) +430814*a(n-8) -869500*a(n-9) -281352*a(n-10) +853376*a(n-11) -53696*a(n-12) -245568*a(n-13) +62720*a(n-14).
%e A223436 Some solutions for n=3
%e A223436 ..8..0..8.14....7..6..7..0....4.12..4..3....6..7..6..5...14..8.10.12
%e A223436 .14..8..0..8....6..7.15..7....5..4..5..4....5..6..7..6....8.14..8.10
%e A223436 .12.14..8..0....7.15..9.15....4.12..4..5....6.14..6..5...10.12.10..2
%Y A223436 Cf. A223440.
%K A223436 nonn
%O A223436 1,1
%A A223436 _R. H. Hardin_, Mar 20 2013