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A254417
Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1
2180, 25589, 423141, 6683795, 106821947, 1701224592, 27127649888, 432529456546, 6897932889768, 110012117617070, 1754633839014404, 27986033446923930, 446378530257394224, 7119814473798598638, 113562892589946520852
OFFSET
1,1
COMMENTS
Column 3 of A254422
LINKS
FORMULA
Empirical: a(n) = 53*a(n-1) -1052*a(n-2) +8298*a(n-3) +12027*a(n-4) -644699*a(n-5) +3383022*a(n-6) +5821120*a(n-7) -105582868*a(n-8) +183491212*a(n-9) +1149464040*a(n-10) -3940967952*a(n-11) -5526556544*a(n-12) +32505663520*a(n-13) +11662935360*a(n-14) -148192467456*a(n-15) -11627458560*a(n-16) +409352481792*a(n-17) +46624425984*a(n-18) -673695553536*a(n-19) -198304174080*a(n-20) +577600782336*a(n-21) +304474816512*a(n-22) -166164037632*a(n-23) -148487012352*a(n-24) -27518828544*a(n-25) for n>30
EXAMPLE
Some solutions for n=2
..2..2..2..2....2..2..2..0....2..1..2..0....1..1..1..0....1..0..1..1
..1..2..1..1....0..1..2..1....2..2..2..2....2..2..2..2....1..1..1..0
..0..2..1..1....1..1..2..1....0..2..2..0....2..2..1..2....0..0..1..1
CROSSREFS
Sequence in context: A020425 A253519 A281562 * A254424 A343777 A250628
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 30 2015
STATUS
approved