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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Cf. A257154

Sequence in context: A317472 A317473 A257155 * A254737 A234416 A218597

Adjacent sequences: A257145 A257146 A257147 * A257149 A257150 A257151

Keyword

nonn

Author

R. H. Hardin, Apr 16 2015

Status

approved