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A255143 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1 1

%I #4 Feb 15 2015 09:33:46

%S 115,371,1310,4576,16386,59681,217262,791181,2886865,10536452,

%T 38448744,140326648,512194269,1869459662,6823369543,24905092259,

%U 90902668054,331790760244,1211023928212,4420193626025,16133540310758,58886821611133

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

%C Column 2 of A255149

%H R. H. Hardin, <a href="/A255143/b255143.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) +14*a(n-3) -20*a(n-4) -38*a(n-5) -57*a(n-6) +32*a(n-7) +181*a(n-8) +161*a(n-9) -27*a(n-10) -301*a(n-11) -250*a(n-12) -15*a(n-13) +250*a(n-14) +170*a(n-15) +33*a(n-16) -94*a(n-17) -50*a(n-18) -18*a(n-19) +18*a(n-20) +4*a(n-22)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255149

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 15 2015

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Last modified February 29 02:52 EST 2024. Contains 370401 sequences. (Running on oeis4.)