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A254492 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Jan 31 2015 10:07:03

%S 3264,29952,278848,2523008,21822912,186999040,1608739904,13816488064,

%T 118589929664,1017853382144,8730146521920,74873174657408,

%U 642262262295488,5509342624658176,47257830100308544,405368993958554240

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

%C Row 2 of A254491

%H R. H. Hardin, <a href="/A254492/b254492.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -46*a(n-2) -42*a(n-3) +624*a(n-4) -4070*a(n-5) +23726*a(n-6) -143310*a(n-7) +364913*a(n-8) +1129936*a(n-9) -6925152*a(n-10) +15765760*a(n-11) -48494080*a(n-12) +157092864*a(n-13) -333556224*a(n-14) +23502848*a(n-15) +1872896000*a(n-16) -4361814016*a(n-17) +12360941568*a(n-18) -45439909888*a(n-19) +98790080512*a(n-20) -104990769152*a(n-21) -49694113792*a(n-22) +350694146048*a(n-23) -1042871746560*a(n-24) +3605625044992*a(n-25) -7769595838464*a(n-26) +8796093022208*a(n-27) -4947802324992*a(n-28) +1099511627776*a(n-29)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2015

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)