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A254485 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I

%S 3264,29952,281024,2520832,21641920,186176000,1607095232,13791593728,

%T 118362940608,1015944347648,8713556258240,74737337877248,

%U 641154500259520,5499739643350528,47175146880526272,404662090987053312

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A254491

%H R. H. Hardin, <a href="/A254485/b254485.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -21*a(n-2) -96*a(n-3) +453*a(n-4) -3068*a(n-5) +17137*a(n-6) -105968*a(n-7) +135840*a(n-8) +1507584*a(n-9) -4045824*a(n-10) +6166528*a(n-11) -32115200*a(n-12) +86695936*a(n-13) -128049152*a(n-14) -319291392*a(n-15) +1362362368*a(n-16) -1317797888*a(n-17) +8362983424*a(n-18) -27396145152*a(n-19) +35634806784*a(n-20) -6325010432*a(n-21) -97978941440*a(n-22) +161061273600*a(n-23) -622770257920*a(n-24) +2199023255552*a(n-25) -2748779069440*a(n-26) +1099511627776*a(n-27)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2015

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Last modified November 29 10:31 EST 2022. Contains 358424 sequences. (Running on oeis4.)