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A253961
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally
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14
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512, 2992, 2992, 16544, 20868, 16544, 82064, 142800, 148332, 82064, 423232, 1022752, 1501724, 1048679, 423232, 2154496, 7533252, 15946360, 16186768, 7777096, 2154496, 11244672, 55225242, 167174472, 240903042, 168988280
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OFFSET
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1,1
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COMMENTS
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Table starts
......512......2992.......16544........82064.........423232..........2154496
.....2992.....20868......142800......1022752........7533252.........55225242
....16544....148332.....1501724.....15946360......167174472.......1776422573
....82064...1048679....16186768....240903042.....3635332193......55074999330
...423232...7777096...168988280...3624943928....77993064012....1716319825801
..2154496..56216811..1798654745..55018824334..1717613401125...54401550145686
.11244672.413408572.18976071008.841599218625.37660244542860.1720060910899929
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 8] for n>15
Empirical for row n:
n=1: [same linear recurrence of order 8] for n>15
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..0..1..0..1....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..1..1
..1..0..1..1..1..1....0..1..1..0..1..0....1..0..0..0..0..0....0..1..1..0..0..0
..1..0..1..1..1..0....0..0..0..0..1..0....1..0..1..0..1..1....1..0..0..1..0..1
..0..0..0..1..0..0....0..0..0..0..1..1....0..0..0..0..1..0....0..1..1..0..1..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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