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A257148
Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1
2848, 16677, 101227, 594229, 3374539, 19028310, 106805258, 596053900, 3313202232, 18364278500, 101563966487, 560710638830, 3091513270239, 17027829457467, 93715212546183, 515462743205034, 2833901320808390
OFFSET
1,1
COMMENTS
Column 2 of A257154
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) -14*a(n-2) -32*a(n-3) +120*a(n-4) -1172*a(n-5) +3932*a(n-6) -6280*a(n-7) +19737*a(n-8) -12753*a(n-9) -31142*a(n-10) +10820*a(n-11) -324465*a(n-12) +244165*a(n-13) +487033*a(n-14) +676647*a(n-15) +2800415*a(n-16) -1508929*a(n-17) -11016270*a(n-18) -1321986*a(n-19) -19384745*a(n-20) +29741253*a(n-21) +65612097*a(n-22) +30108231*a(n-23) -132843037*a(n-24) +1221523*a(n-25) -217403908*a(n-26) +39811528*a(n-27) +1191428040*a(n-28) -1237901696*a(n-29) -725097232*a(n-30) +1861412656*a(n-31) -1356213568*a(n-32) +572751872*a(n-33) +971675648*a(n-34) -1887011840*a(n-35) +520824832*a(n-36) +413429760*a(n-37) -34947072*a(n-38) +44400640*a(n-39) -256638976*a(n-40) +222035968*a(n-41) -49283072*a(n-42) -88080384*a(n-43) +50331648*a(n-44) for n>50
EXAMPLE
Some solutions for n=3
..0..0..1..0....1..0..1..1....1..1..1..0....1..1..0..0....0..1..1..1
..1..0..0..1....0..0..0..0....1..0..0..0....0..1..1..1....0..0..0..0
..0..1..0..0....1..0..0..0....0..1..1..0....0..1..1..1....1..0..0..1
..0..0..0..1....1..1..1..1....1..0..0..1....1..1..1..0....0..1..1..0
..0..0..0..1....0..0..0..0....1..1..1..1....1..0..1..1....0..1..1..0
CROSSREFS
Sequence in context: A317472 A317473 A257155 * A254737 A234416 A218597
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 16 2015
STATUS
approved