A254840 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically

8776, 37642, 131776, 340387, 638688, 1102937, 1795490, 2870508, 4430116, 6683904, 10055304, 15093286, 22291032, 32547096, 47859712, 70745132, 103395658, 150104280, 220329220, 325793112, 476694716, 693576838, 1021640120, 1516194028

Offset

1,1

Comments

Column 3 of A254845

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +11*a(n-4) -36*a(n-5) +40*a(n-6) -2*a(n-7) -42*a(n-8) +89*a(n-9) -70*a(n-10) -39*a(n-11) +62*a(n-12) -2*a(n-13) -80*a(n-14) +148*a(n-15) -13*a(n-16) -159*a(n-17) +155*a(n-18) -76*a(n-19) -57*a(n-20) +88*a(n-21) +40*a(n-22) -96*a(n-23) +56*a(n-24) +16*a(n-25) -80*a(n-26) +64*a(n-27) -16*a(n-28) for n>47

Example

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

Crossrefs

Sequence in context: A237484 A255758 A255751 * A156083 A249956 A031791

Adjacent sequences: A254837 A254838 A254839 * A254841 A254842 A254843

Keyword

nonn

Author

R. H. Hardin, Feb 08 2015

Status

approved