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R. H. Hardin, <a href="/A250821/b250821.txt">Table of n, a(n) for n = 1..210</a>

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Number of (n+2)X(2+2) 0..1 arrays with nondecreasing maximum minus minimum of every three consecutive values in every row and column

2744, 22874, 176184, 1217728, 8095062, 52143132, 330659096, 2074791394, 12942194000, 80432210624, 498785770398, 3089054432500, 19116076203672, 118241047553034, 731167427050088, 4520568431591104, 27946423065952262

1,1

Column 2 of A250826

Empirical: a(n) = 9*a(n-1) -5*a(n-2) -91*a(n-3) +5*a(n-4) +431*a(n-5) +799*a(n-6) -1199*a(n-7) -4097*a(n-8) -1157*a(n-9) +8766*a(n-10) +11816*a(n-11) -4685*a(n-12) -20537*a(n-13) -12267*a(n-14) +11123*a(n-15) +19714*a(n-16) +5392*a(n-17) -8559*a(n-18) -8485*a(n-19) -695*a(n-20) +2925*a(n-21) +1310*a(n-22) -248*a(n-23) -338*a(n-24) +36*a(n-25) +56*a(n-26) -16*a(n-27) -3*a(n-28) +a(n-29)

Some solutions for n=3

..1..0..0..1....0..1..0..0....0..1..1..0....1..0..0..1....0..0..0..0

..0..1..1..0....0..0..1..0....0..1..1..0....0..0..1..1....0..0..1..0

..0..1..0..0....0..1..0..0....0..0..1..0....1..1..0..1....1..0..1..0

..1..0..1..1....0..0..1..0....1..1..1..0....0..0..1..0....1..1..0..0

..0..0..0..1....0..1..0..0....0..1..0..1....0..0..1..0....0..0..1..0

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R. H. Hardin, Nov 27 2014

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