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A253872 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Jan 17 2015 09:46:38

%S 3328,31632,288000,2546432,22201600,192159408,1655991552,14230568608,

%T 122149164288,1048058382544,8991811861760,77138860263232,

%U 661719173588224,5676180681647088,48689392835071232,417649176995518688

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

%C Row 2 of A253871

%H R. H. Hardin, <a href="/A253872/b253872.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -37*a(n-2) -95*a(n-3) +1181*a(n-4) -3897*a(n-5) +1721*a(n-6) -11813*a(n-7) +86096*a(n-8) -17360*a(n-9) -280192*a(n-10) +266368*a(n-11) -103680*a(n-12) +1683712*a(n-13) -11894784*a(n-14) +12763136*a(n-15) +24772608*a(n-16) -31457280*a(n-17) -12582912*a(n-18) +16777216*a(n-19)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2015

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)