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A252598 Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5 1

%I

%S 303,567,1218,2792,6709,16123,39372,97138,239542,594231,1478086,

%T 3673617,9149192,22806844,56828222,141709958,353502123,881648042,

%U 2199536221,5488280380,13693103367,34168135962,85265526852,212769328749

%N Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5

%C Column 1 of A252605

%H R. H. Hardin, <a href="/A252598/b252598.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +31*a(n-3) -92*a(n-4) +124*a(n-5) -375*a(n-6) +811*a(n-7) -979*a(n-8) +2278*a(n-9) -3380*a(n-10) +3698*a(n-11) -7324*a(n-12) +6163*a(n-13) -6909*a(n-14) +11385*a(n-15) -602*a(n-16) +6670*a(n-17) -3170*a(n-18) -12304*a(n-19) -6355*a(n-20) -14914*a(n-21) +8655*a(n-22) +7225*a(n-23) +20083*a(n-24) +9981*a(n-25) -963*a(n-26) -7637*a(n-27) -9987*a(n-28) -1830*a(n-29) +1511*a(n-30) +3257*a(n-31) +530*a(n-32) -1400*a(n-33) -2384*a(n-34) -1532*a(n-35) -732*a(n-36) +60*a(n-37) +226*a(n-38) +120*a(n-39) +80*a(n-40) -20*a(n-41) +12*a(n-42) -8*a(n-43) for n>47

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified June 21 16:23 EDT 2021. Contains 345365 sequences. (Running on oeis4.)