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A253726
Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally and vertically
1
518, 6530, 83884, 1076964, 13552198, 172901292, 2184376310, 27787898426, 351770175332, 4468694386686, 56626555767842, 718835840302596, 9113636912143270, 115649322205892360, 1466619710908899064
OFFSET
1,1
COMMENTS
Column 2 of A253731
LINKS
FORMULA
Empirical: a(n) = 112*a(n-2) +500*a(n-3) +1749*a(n-4) -2404*a(n-5) -2485*a(n-6) -32086*a(n-7) -37905*a(n-8) +118470*a(n-9) +292997*a(n-10) +1294388*a(n-11) +548232*a(n-12) +1175220*a(n-13) -1625769*a(n-14) -3193684*a(n-15) +1879940*a(n-16) -18568634*a(n-17) -92745648*a(n-18) -264531330*a(n-19) -402229438*a(n-20) -407881862*a(n-21) -89778686*a(n-22) +162012970*a(n-23) +375344358*a(n-24) +164943714*a(n-25) +199780553*a(n-26) -327932748*a(n-27) -322702602*a(n-28) -492824270*a(n-29) +219050369*a(n-30) +277065842*a(n-31) +560894622*a(n-32) +205464382*a(n-33) +36455168*a(n-34) -214458562*a(n-35) -191150845*a(n-36) -107640448*a(n-37) -39881431*a(n-38) -3772082*a(n-39) -9578098*a(n-40) -85940*a(n-41) -4202064*a(n-42) +221568*a(n-43) -226944*a(n-44) for n>46
EXAMPLE
Some solutions for n=3
..2..0..0....1..0..2....2..0..2....2..1..0....1..1..2....2..0..0....1..1..0
..2..1..0....0..1..2....0..0..2....1..2..1....2..0..2....2..0..2....2..1..2
..0..1..0....2..0..1....2..0..1....0..1..2....1..1..0....1..1..0....2..1..0
..1..0..0....1..2..2....1..2..2....2..0..1....2..1..1....2..0..2....1..1..1
CROSSREFS
Sequence in context: A233922 A236659 A236642 * A293085 A173791 A345587
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 10 2015
STATUS
approved