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A223411 4X4X4 triangular graph without horizontal edges coloring a rectangular array: number of nX4 0..9 arrays where 0..9 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1

%I

%S 176,4664,139552,4222748,128885376,3940419696,120598735372,

%T 3692032452520,113045815121672,3461502762735476,105994971183863368,

%U 3245709203698188204,99388399077982413724,3043424044848554777500,93194342137307699884656

%N 4X4X4 triangular graph without horizontal edges coloring a rectangular array: number of nX4 0..9 arrays where 0..9 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

%C Column 4 of A223415

%H R. H. Hardin, <a href="/A223411/b223411.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 52*a(n-1) -605*a(n-2) -4909*a(n-3) +114372*a(n-4) -166245*a(n-5) -5686724*a(n-6) +23200796*a(n-7) +97856804*a(n-8) -637863724*a(n-9) -439926603*a(n-10) +7644806505*a(n-11) -4787204618*a(n-12) -45559087935*a(n-13) +62300374787*a(n-14) +135392995419*a(n-15) -275828351511*a(n-16) -178232690229*a(n-17) +590906665851*a(n-18) +46339826847*a(n-19) -683316723463*a(n-20) +118854244655*a(n-21) +449144213890*a(n-22) -129218066125*a(n-23) -170266844243*a(n-24) +55576426310*a(n-25) +36189598524*a(n-26) -11501894692*a(n-27) -3874207648*a(n-28) +1086490096*a(n-29) +149727936*a(n-30) -36900864*a(n-31)

%e Some solutions for n=3

%e ..2..4..1..3....7..4..1..0....1..0..2..0....3..1..4..2....2..4..8..4

%e ..4..1..4..1....3..1..4..1....4..1..0..2....1..0..1..4....4..8..5..8

%e ..1..4..2..4....7..3..7..4....8..4..2..5....0..1..4..2....1..4..2..5

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2013

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Last modified January 17 04:46 EST 2022. Contains 350378 sequences. (Running on oeis4.)