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A229408 Number of nX4 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

%I A229408 #6 Jul 23 2025 05:43:18
%S A229408 216,18712,1629298,142475606,12462062342,1088122273732,95053083585891,
%T A229408 8301763765531574,725093556456021346,63329941366726648700,
%U A229408 5531290909649734783556,483106534141329972723097
%N A229408 Number of nX4 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.
%C A229408 Column 4 of A229412
%H A229408 R. H. Hardin, <a href="/A229408/b229408.txt">Table of n, a(n) for n = 1..210</a>
%F A229408 Empirical: a(n) = 75*a(n-1) +2015*a(n-2) -73205*a(n-3) -896610*a(n-4) +10470535*a(n-5) +157792703*a(n-6) +1077763146*a(n-7) -48083577042*a(n-8) +139036742866*a(n-9) +2329836068759*a(n-10) -12239602373109*a(n-11) -18093515207980*a(n-12) +25956958296476*a(n-13) +788113375763838*a(n-14) +4262697509579799*a(n-15) -32295546573782881*a(n-16) +5417264413820169*a(n-17) -222062164960051970*a(n-18) +2056761311429590249*a(n-19) +284299724552912084*a(n-20) -5503490927997508789*a(n-21) -37413268328101141846*a(n-22) -35941801725298585560*a(n-23) +347787642606086419936*a(n-24) +169870607382944004955*a(n-25) -846141604860515816370*a(n-26) -211772881175844251108*a(n-27) +647850647823873544356*a(n-28) -8127264578877075089*a(n-29) +9475013725414750069*a(n-30) +261644621740873034478*a(n-31) -320746521148777807135*a(n-32) -7078655626835329740*a(n-33) +72309509961021458842*a(n-34) -13313178706506520382*a(n-35) -88592046886273993*a(n-36) -273529821870610322*a(n-37) +31392037171652720*a(n-38) +1252411560948928*a(n-39) -20239125212160*a(n-40)
%e A229408 Some solutions for n=3
%e A229408 ..0..0..3..2....0..0..2..0....0..0..0..0....0..0..3..3....0..0..1..3
%e A229408 ..2..2..3..1....3..2..3..0....2..3..1..2....3..2..2..0....3..2..1..3
%e A229408 ..0..0..1..0....1..0..2..3....1..0..2..0....0..3..1..2....3..3..2..1
%K A229408 nonn
%O A229408 1,1
%A A229408 _R. H. Hardin_ Sep 22 2013