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 A251785 Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7 1

%I #4 Dec 08 2014 20:05:37

%S 1664,2640,6470,14908,35948,85826,210582,525800,1281188,3230514,

%T 8269042,20728732,53387162,139225802,357534236,936054498,2475510686,

%U 6476921720,17167048240,45854800004,121609864088,325220317710,874682014058

%N Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7

%C Column 2 of A251791

%H R. H. Hardin, <a href="/A251785/b251785.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) +28*a(n-3) -95*a(n-4) -81*a(n-5) -257*a(n-6) +1052*a(n-7) +1214*a(n-8) +1088*a(n-9) -5017*a(n-10) -8156*a(n-11) -5209*a(n-12) +12019*a(n-13) +24363*a(n-14) +21272*a(n-15) -22278*a(n-16) -42991*a(n-17) -38325*a(n-18) +75140*a(n-19) +137588*a(n-20) +93255*a(n-21) -173675*a(n-22) -367845*a(n-23) -268747*a(n-24) +191739*a(n-25) +549835*a(n-26) +446126*a(n-27) -59905*a(n-28) -456401*a(n-29) -424111*a(n-30) -116715*a(n-31) +102625*a(n-32) +158011*a(n-33) +147315*a(n-34) +159556*a(n-35) +105365*a(n-36) -25505*a(n-37) -115405*a(n-38) -104222*a(n-39) -37086*a(n-40) -689*a(n-41) +3639*a(n-42) +9932*a(n-43) +17510*a(n-44) +15235*a(n-45) +5127*a(n-46) -1481*a(n-47) -1542*a(n-48) -920*a(n-49) -1159*a(n-50) -968*a(n-51) -444*a(n-52) +14*a(n-53) +34*a(n-54) +15*a(n-55) +67*a(n-56) +55*a(n-57) +18*a(n-58) -6*a(n-59) -6*a(n-60) for n>66

%e Some solutions for n=4

%e ..3..1..1..2....1..2..2..0....0..3..2..3....2..1..1..3....3..1..0..3

%e ..1..0..3..2....0..3..2..0....2..0..3..2....2..3..0..1....2..0..3..2

%e ..0..3..1..0....0..3..1..0....2..2..0..3....0..1..3..0....0..3..2..0

%e ..3..2..0..3....0..3..2..0....0..3..1..0....3..0..2..3....3..1..0..3

%e ..1..0..3..1....1..3..1..0....2..0..3..1....2..3..0..2....2..0..3..1

%e ..1..3..1..0....0..3..1..0....3..2..0..3....3..2..3..0....0..3..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2014

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Last modified May 26 04:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)