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A256024 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1 1

%I #4 Mar 13 2015 13:52:21

%S 154,484,1689,5559,18881,65202,223901,772322,2674536,9246717,31958849,

%T 110567125,382593936,1323597069,4578966412,15842082720,54811158663,

%U 189635937913,656096229235,2269948418864,7853573067925,27171812792714

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1

%C Column 3 of A256029

%H R. H. Hardin, <a href="/A256024/b256024.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +17*a(n-3) -13*a(n-4) -11*a(n-5) -53*a(n-6) -82*a(n-7) +104*a(n-8) +226*a(n-9) +158*a(n-10) -23*a(n-11) -338*a(n-12) -303*a(n-13) -89*a(n-14) +231*a(n-15) +283*a(n-16) +125*a(n-17) -59*a(n-18) -145*a(n-19) -77*a(n-20) -31*a(n-21) +26*a(n-22) +20*a(n-23) +24*a(n-24) +8*a(n-25) +4*a(n-26) for n>28

%e Some solutions for n=4

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

%e ..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1

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

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

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

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

%Y Cf. A256029

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 13 2015

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)