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A235521
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T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with 2 X 2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise.
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6
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256, 2272, 2272, 20164, 61080, 20164, 131208, 1693053, 1649707, 131208, 853776, 33809449, 136233789, 32516127, 853776, 4548852, 677462696, 8689553076, 8849747316, 636820654, 4548852, 24235929, 10650729023, 540301382239
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OFFSET
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1,1
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COMMENTS
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Table starts
.......256..........2272............20164............131208.............853776
......2272.........61080..........1693053..........33809449..........677462696
.....20164.......1649707........136233789........8689553076.......540301382239
....131208......32516127.......8849747316.....2001758743204....439572860964268
....853776.....636820654.....569055271070...448691506243509.339098156459115852
...4548852....9861273365...29822537207178.85371358783135523
..24235929..152479393753.1571264979362306
.112067172.1957874677935
.518199696
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LINKS
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FORMULA
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Empirical for column and row 1: [linear recurrence of order 50].
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EXAMPLE
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Some solutions for n=2, k=4
..0..2..0..1..0....0..0..0..0..0....0..2..0..0..0....0..2..0..0..1
..1..2..1..1..1....1..3..0..1..0....1..1..1..0..0....1..1..1..1..0
..2..3..1..3..0....0..2..3..1..1....3..2..2..3..3....3..0..2..2..2
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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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