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A198979 Number of nX5 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.

%I A198979 #7 Jul 22 2025 13:07:43
%S A198979 15,8731,12662226,19622872903,30525244435834,47495195899845037,
%T A198979 73900197917712351603,114985169155743145765664,
%U A198979 178911424288565716160545667,278377620790460864731769016202
%N A198979 Number of nX5 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.
%C A198979 Column 5 of A198982
%H A198979 R. H. Hardin, <a href="/A198979/b198979.txt">Table of n, a(n) for n = 1..118</a>
%F A198979 Empirical: a(n) = 1919*a(n-1) -618345*a(n-2) +87289985*a(n-3) -6569574565*a(n-4) +278610016111*a(n-5) -6494675901838*a(n-6) +68671059116490*a(n-7) +172591767439289*a(n-8) -13348281831215275*a(n-9) +160607442902203491*a(n-10) -980646097424848279*a(n-11) +3301315800351613573*a(n-12) -5146582047324378787*a(n-13) -2530332306059747340*a(n-14) +26669206285409451180*a(n-15) -51683930686978851864*a(n-16) +51325265833875086656*a(n-17) -28242314477005082400*a(n-18) +8055054564912000000*a(n-19) -914531071104000000*a(n-20)
%e A198979 Some solutions with all values from 0 to 5 for n=4
%e A198979 ..0..1..0..2..3....0..1..2..3..4....0..1..2..1..0....0..1..2..3..2
%e A198979 ..1..0..1..4..2....1..0..1..4..1....1..0..1..2..3....1..0..1..0..3
%e A198979 ..0..3..0..3..1....0..3..0..3..0....0..3..0..1..2....0..3..0..4..0
%e A198979 ..3..0..4..0..5....3..0..4..1..5....3..0..4..5..1....3..0..3..2..5
%K A198979 nonn
%O A198979 1,1
%A A198979 _R. H. Hardin_ Nov 01 2011