A255029 Number of (n+2)X(1+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

512, 2554, 10732, 42890, 154680, 516998, 1640073, 5004712, 14785630, 42521002, 119604304, 330253684, 897742410, 2407927618, 6384340078, 16758261882, 43604527938, 112586027730, 288720044562, 735935809282, 1865764917462

Offset

1,1

Comments

Column 1 of A255036

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +12*a(n-3) -4*a(n-4) +6*a(n-5) +24*a(n-6) -54*a(n-7) +65*a(n-8) -47*a(n-9) -98*a(n-10) -34*a(n-11) +268*a(n-12) -174*a(n-13) +526*a(n-14) -228*a(n-15) -928*a(n-16) +176*a(n-17) +1052*a(n-18) -384*a(n-19) -312*a(n-20) +144*a(n-21) for n>27

Example

Some solutions for n=4
..0..1..1....0..0..1....0..0..0....0..1..0....0..0..1....0..0..1....1..1..1
..0..0..0....0..1..1....0..1..0....1..0..0....0..0..1....1..0..0....0..0..0
..1..0..0....1..0..0....1..0..0....1..0..1....1..0..0....0..0..0....1..1..0
..0..0..1....0..0..1....1..0..0....1..0..0....1..0..1....1..1..0....0..0..1
..0..1..0....0..1..1....0..1..0....1..1..0....1..1..0....1..1..1....1..1..1
..0..0..1....0..0..1....0..0..0....1..1..1....0..1..0....1..0..0....1..1..1

Crossrefs

Cf. A255036

Sequence in context: A254013 A255036 A256954 * A257426 A254242 A254235

Adjacent sequences: A255026 A255027 A255028 * A255030 A255031 A255032

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved