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A222443 Number of nX7 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.

%I A222443 #6 Jul 23 2025 02:35:43
%S A222443 729,352947,171655443,83550197745,40672916404629,19800569621116647,
%T A222443 9639473169171326643,4692774165276650869245,2284579009484665788160179,
%U A222443 1112199638674265376676027137,541451207318902554322801201323
%N A222443 Number of nX7 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.
%C A222443 Column 7 of A222444
%H A222443 R. H. Hardin, <a href="/A222443/b222443.txt">Table of n, a(n) for n = 1..179</a>
%F A222443 Empirical: a(n) = 819*a(n-1) -204870*a(n-2) +23772465*a(n-3) -1425117615*a(n-4) +39256237101*a(n-5) +152726588506*a(n-6) -44930408762253*a(n-7) +1339351117403163*a(n-8) -14928730509168400*a(n-9) -78819457526601069*a(n-10) +4062765406012345179*a(n-11) -37757121486290980278*a(n-12) -68240926106201387961*a(n-13) +3794936331451819680117*a(n-14) -23779739227140824191548*a(n-15) -29753992296912636572943*a(n-16) +964450568348716046319045*a(n-17) -3168844144197475082957586*a(n-18) -8369063489056264717051593*a(n-19) +71412993203919367864890213*a(n-20) -74563700867966091891336516*a(n-21) -455986800032456271721738005*a(n-22) +1231765494915388749316654095*a(n-23) +283901706113530417691883255*a(n-24) -4132677014051553863111984256*a(n-25) +3387077069617720093747964751*a(n-26) +2993562068266703115786456423*a(n-27) -5325198850408891226227169886*a(n-28) +2404171219327378689634190766*a(n-29) -275064708832449378413299470*a(n-30) -50931693338666432991888546*a(n-31) +9198797534128825159826898*a(n-32)
%e A222443 Some solutions for n=3
%e A222443 ..0..0..0..0..2..3..0....0..0..0..0..2..2..2....0..0..0..0..0..2..0
%e A222443 ..0..0..0..1..3..1..2....0..0..0..0..2..0..0....0..0..0..0..1..3..0
%e A222443 ..0..0..1..2..0..2..2....0..0..0..0..0..2..2....0..0..1..1..3..3..1
%K A222443 nonn
%O A222443 1,1
%A A222443 _R. H. Hardin_ Feb 20 2013