A255040 Number of (5+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

154680, 196724, 256941, 340084, 509796, 679364, 1001108, 1527986, 2511384, 2809624, 4351252, 6087760, 9523604, 11861776, 17669024, 24264636, 36530112, 46441548, 69037416, 93999336, 140746548, 181125992, 270554212, 368027184

Offset

1,1

Comments

Row 5 of A255036

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-3) +7*a(n-4) -11*a(n-5) -2*a(n-6) +12*a(n-7) -12*a(n-8) +9*a(n-9) +12*a(n-10) -16*a(n-11) -4*a(n-12) +14*a(n-13) -16*a(n-14) +16*a(n-16) -8*a(n-17) for n>33

Example

Some solutions for n=2
..1..0..0..1....0..0..0..0....0..1..0..0....1..0..0..1....0..0..0..1
..0..0..0..1....1..0..0..1....1..0..1..0....0..0..0..1....0..0..0..0
..0..0..0..1....1..0..0..1....1..0..1..0....1..0..0..1....0..0..1..0
..0..1..0..1....1..0..1..1....0..1..0..1....1..0..0..0....1..0..0..1
..0..0..0..1....0..1..1..0....0..1..0..1....1..0..1..1....0..1..1..1
..0..1..1..0....1..1..0..1....1..0..1..1....1..1..1..1....1..1..1..1
..1..0..1..0....1..0..1..0....0..0..0..0....0..1..1..1....1..1..1..0

Crossrefs

Cf. A255036

Sequence in context: A234553 A073086 A341212 * A255033 A256951 A101767

Adjacent sequences: A255037 A255038 A255039 * A255041 A255042 A255043

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved