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A254973 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 0 and no column sum 0 1

%I

%S 1008,6915,49040,260705,1592767,9673960,57587977,343845199,2068795871,

%T 12385458149,74216785472,444890709067,2666394867176,15978893688072,

%U 95772547190118,573990940015533,3440077118464417,20617472050845004

%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 0 and no column sum 0

%C Column 3 of A254978

%H R. H. Hardin, <a href="/A254973/b254973.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +11*a(n-2) +8*a(n-3) +60*a(n-4) -284*a(n-5) -333*a(n-6) -3571*a(n-7) -6011*a(n-8) +24239*a(n-9) +41276*a(n-10) -7771*a(n-11) -56686*a(n-12) -49978*a(n-13) -80570*a(n-14) -243931*a(n-15) +89792*a(n-16) +493579*a(n-17) +457162*a(n-18) -222384*a(n-19) -624692*a(n-20) +52666*a(n-21) +36815*a(n-22) +113184*a(n-23) +75036*a(n-24) +123561*a(n-25) -85349*a(n-26) -87922*a(n-27) -43653*a(n-28) -9850*a(n-29) -9845*a(n-30) -5348*a(n-31) -334*a(n-32) -16*a(n-33) +84*a(n-34) -60*a(n-35) for n>38

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 11 2015

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Last modified January 21 14:37 EST 2022. Contains 350479 sequences. (Running on oeis4.)