A256805 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 0 or 1 and no column sum 0 or 1

237, 1167, 5891, 28655, 140031, 688353, 3375943, 16546465, 81148017, 397969727, 1951494975, 9569654587, 46928263987, 230127443349, 1128498797539, 5533946633513, 27137441115377, 133076860538449, 652583716491933

Offset

1,1

Comments

Column 3 of A256810

Links

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

Formula

Empirical: a(n) = a(n-1) +5*a(n-2) +48*a(n-3) +104*a(n-4) +99*a(n-5) -202*a(n-6) -1024*a(n-7) -1496*a(n-8) -281*a(n-9) +3079*a(n-10) +5838*a(n-11) +3341*a(n-12) -3935*a(n-13) -7358*a(n-14) -5876*a(n-15) -1450*a(n-16) +3684*a(n-17) +5004*a(n-18) +2617*a(n-19) +221*a(n-20) -821*a(n-21) -1170*a(n-22) -324*a(n-23) -123*a(n-24) +49*a(n-25) +50*a(n-26) +3*a(n-27) +6*a(n-28)

Example

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

Crossrefs

Cf. A256810

Sequence in context: A048454 A255618 A237592 * A192283 A069420 A205068

Adjacent sequences: A256802 A256803 A256804 * A256806 A256807 A256808

Keyword

nonn

Author

R. H. Hardin, Apr 10 2015

Status

approved