A252364 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

282, 834, 3054, 10450, 36078, 124538, 427362, 1470006, 5070814, 17463766, 60088290, 206866218, 712422522, 2453110742, 8445738678, 29078502866, 100122283738, 344737651282, 1186962351454, 4086804396094, 14071307248710

Offset

1,1

Comments

Column 3 of A252369

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

Example

Some solutions for n=4
..2..0..0..0..0....3..3..2..3..3....2..0..0..0..2....3..3..2..3..3
..0..0..0..2..0....3..3..3..3..3....0..0..2..0..0....3..3..3..3..3
..0..2..0..0..0....3..3..3..3..3....0..0..0..0..0....3..3..3..3..3
..0..0..0..0..2....3..3..3..3..3....0..0..0..0..0....3..3..3..3..2
..0..0..2..0..0....3..3..2..3..3....0..0..2..0..0....2..3..3..3..3
..2..0..0..0..0....3..3..3..3..2....2..0..0..0..2....3..3..3..2..3

Crossrefs

Sequence in context: A356854 A114804 A250580 * A345704 A224115 A248459

Adjacent sequences: A252361 A252362 A252363 * A252365 A252366 A252367

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved