A255039 Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

42890, 87907, 154706, 281112, 474308, 749830, 1231466, 1903222, 3236146, 4393502, 6578354, 9002262, 13839330, 19055054, 27476822, 35910722, 54364518, 74802886, 106485518, 136585554, 207039910, 286473338, 408319794, 520179870, 794025078

Offset

1,1

Comments

Row 4 of A255036

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) +5*a(n-4) -12*a(n-5) +5*a(n-6) -6*a(n-7) -a(n-8) +16*a(n-9) -a(n-10) +7*a(n-11) -13*a(n-12) -2*a(n-13) -13*a(n-14) +6*a(n-15) +2*a(n-16) +12*a(n-17) +2*a(n-18) -8*a(n-19) +8*a(n-20) -16*a(n-21) +8*a(n-22) for n>38

Example

Some solutions for n=3
..1..0..1..1..0....0..1..1..0..0....0..1..1..1..0....0..0..1..0..1
..1..0..0..0..0....0..0..0..0..1....0..1..1..0..0....0..0..0..1..0
..1..0..0..1..1....1..0..0..1..1....1..0..0..1..1....0..1..0..1..0
..0..1..1..0..1....1..0..1..1..1....0..1..1..1..0....1..0..1..0..1
..0..1..1..1..1....1..1..1..0..1....1..1..1..1..1....1..0..1..0..1
..1..1..0..1..1....1..0..0..1..0....1..0..0..0..0....0..1..0..1..1

Crossrefs

Cf. A255036

Sequence in context: A147635 A236032 A014892 * A255032 A256950 A237847

Adjacent sequences: A255036 A255037 A255038 * A255040 A255041 A255042

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved