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A240780 Number of nX5 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.

%I A240780 #6 Jul 23 2025 11:07:02
%S A240780 1,9,97,959,10150,106411,1120383,11791412,124095989,1306056075,
%T A240780 13745692417,144667727920,1522567835402,16024396462730,
%U A240780 168650144696133,1774973019338383,18680856897784860,196608292474782756
%N A240780 Number of nX5 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.
%C A240780 Column 5 of A240783
%H A240780 R. H. Hardin, <a href="/A240780/b240780.txt">Table of n, a(n) for n = 1..210</a>
%F A240780 Empirical: a(n) = 11*a(n-1) +7*a(n-2) -123*a(n-3) -100*a(n-4) +564*a(n-5) +1376*a(n-6) -850*a(n-7) -2574*a(n-8) -15069*a(n-9) -48432*a(n-10) +116629*a(n-11) +324534*a(n-12) -546638*a(n-13) -1305652*a(n-14) +1415839*a(n-15) +2861430*a(n-16) -181783*a(n-17) +1142736*a(n-18) -3485531*a(n-19) +103541*a(n-20) +3757015*a(n-21) -3932650*a(n-22) -2493412*a(n-23) +1567853*a(n-24) +1326412*a(n-25) -3258442*a(n-26) -317605*a(n-27) -4294565*a(n-28) -451364*a(n-29) -983122*a(n-30) +1528646*a(n-31) +4998901*a(n-32) +2015845*a(n-33) -351008*a(n-34) +1590161*a(n-35) +241188*a(n-36) -1593888*a(n-37) -938771*a(n-38) -106281*a(n-39) +189935*a(n-40) +114894*a(n-41) -8940*a(n-42) -15519*a(n-43) +17746*a(n-44) +13164*a(n-45) -7056*a(n-46) -7716*a(n-47) +20*a(n-48) +1377*a(n-49) +35*a(n-50) -3*a(n-51) +38*a(n-52) -8*a(n-53) -4*a(n-54)
%e A240780 Some solutions for n=4
%e A240780 ..0..1..1..0..1....0..1..0..1..1....0..1..0..1..0....0..1..0..1..0
%e A240780 ..0..1..1..0..1....1..0..1..1..1....1..0..1..0..0....1..0..1..0..1
%e A240780 ..0..1..1..0..0....1..0..1..1..1....1..1..0..0..1....1..1..0..0..1
%e A240780 ..1..0..1..0..0....0..1..0..1..0....1..1..0..1..0....0..1..0..0..1
%K A240780 nonn
%O A240780 1,2
%A A240780 _R. H. Hardin_, Apr 12 2014