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A208412 Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

%I A208412 #7 Jul 22 2025 21:20:17
%S A208412 51,43947,42012698,40595679634,39216100214432,37884515848419250,
%T A208412 36598079445605633928,35355330691346872093058,
%U A208412 34154781271350993450819306,32994998532336627831187653984,31874598155583932774268114331038
%N A208412 Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
%C A208412 Row 5 of A208408
%H A208412 R. H. Hardin, <a href="/A208412/b208412.txt">Table of n, a(n) for n = 1..210</a>
%F A208412 Empirical: a(n) = 846*a(n-1) +113055*a(n-2) +2929874*a(n-3) -109060673*a(n-4) -3622824692*a(n-5) +65097142029*a(n-6) +1105024278376*a(n-7) -27292434557458*a(n-8) +142062088508752*a(n-9) +377948844669748*a(n-10) -4808916389539500*a(n-11) +4645157287758163*a(n-12) +52333669611524778*a(n-13) -120575382680010711*a(n-14) -210993332876225106*a(n-15) +842794866719196543*a(n-16) +23751649411434324*a(n-17) -2346267769038080739*a(n-18) +1537588828184004828*a(n-19) +2261528701157029077*a(n-20) -2074597977196235322*a(n-21) -1044955823075183619*a(n-22) +1037909226733865982*a(n-23) +266013779180313879*a(n-24) -226004933703781188*a(n-25) -35288827553849769*a(n-26) +20872926611932608*a(n-27) +1881175972889916*a(n-28) -620089737873840*a(n-29) for n>32
%e A208412 Some solutions for n=4
%e A208412 ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A208412 ..1..0..2..1....0..1..1..2....0..1..0..1....0..1..1..1....0..1..0..1
%e A208412 ..0..1..0..2....1..0..1..3....0..1..1..0....0..0..0..1....1..2..0..2
%e A208412 ..2..1..0..3....1..3..3..1....0..2..1..2....0..1..0..0....0..1..0..3
%e A208412 ..1..0..1..0....1..3..0..1....3..3..0..3....0..1..1..1....2..2..1..2
%K A208412 nonn
%O A208412 1,1
%A A208412 _R. H. Hardin_ Feb 26 2012