A255786 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

177, 270, 491, 884, 1696, 3376, 6668, 13654, 28636, 60436, 129004, 277490, 598982, 1298324, 2822028, 6143688, 13394892, 29231560, 63828278, 139443252, 304733610, 666090304, 1456209450, 3183921392, 6961973124, 15224014438, 33292204686

Offset

1,1

Comments

Column 2 of A255792

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -4*a(n-4) -10*a(n-5) -8*a(n-6) -2*a(n-7) +3*a(n-8) -17*a(n-9) +14*a(n-10) +39*a(n-11) +49*a(n-12) +4*a(n-13) -26*a(n-14) +7*a(n-15) -20*a(n-16) -60*a(n-17) -96*a(n-18) -3*a(n-19) +70*a(n-20) +52*a(n-21) +15*a(n-22) +9*a(n-23) +44*a(n-24) -2*a(n-25) -45*a(n-26) -46*a(n-27) -2*a(n-28) +19*a(n-29) +2*a(n-30) -2*a(n-31) +4*a(n-32) +9*a(n-33) +a(n-34) -4*a(n-35) -3*a(n-36) +a(n-38) for n>41

Example

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

Crossrefs

Cf. A255792

Sequence in context: A077786 A188537 A169641 * A147028 A105988 A292185

Adjacent sequences: A255783 A255784 A255785 * A255787 A255788 A255789

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved