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A255023 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1 1

%I #4 Feb 13 2015 07:43:40

%S 269,1121,5077,21854,92217,391926,1669286,7114859,30309034,129016023,

%T 549319029,2339546992,9963141837,42425232242,180661430018,

%U 769335984165,3276146397830,13951092432171,59409215103985,252988054381890

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1

%C Column 4 of A255027

%H R. H. Hardin, <a href="/A255023/b255023.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +6*a(n-2) +20*a(n-3) +54*a(n-4) +38*a(n-5) -41*a(n-6) -191*a(n-7) -285*a(n-8) +296*a(n-9) +753*a(n-10) -160*a(n-11) -791*a(n-12) -99*a(n-13) +334*a(n-14) +98*a(n-15) -18*a(n-16) +54*a(n-17) -3*a(n-18) -35*a(n-19) +3*a(n-20) -12*a(n-21) -7*a(n-22) +4*a(n-23) for n>25

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A255027

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2015

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)