A252346 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8

798, 1386, 2864, 5641, 12419, 29159, 66229, 155733, 385341, 923811, 2260511, 5786183, 14416598, 36175119, 94631813, 241864017, 616201533, 1632702189, 4238564183, 10892872784, 29068257085, 76152311742, 196651024110

Offset

1,1

Comments

Column 2 of A252352

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +40*a(n-3) -120*a(n-4) +80*a(n-5) -553*a(n-6) +1660*a(n-7) -1109*a(n-8) +3348*a(n-9) -10061*a(n-10) +6761*a(n-11) -9224*a(n-12) +27713*a(n-13) -18893*a(n-14) +7460*a(n-15) -21856*a(n-16) +15854*a(n-17) +17389*a(n-18) -55122*a(n-19) +35943*a(n-20) -46716*a(n-21) +143613*a(n-22) -98997*a(n-23) +44289*a(n-24) -127098*a(n-25) +90801*a(n-26) -20484*a(n-27) +47232*a(n-28) -34722*a(n-29) +4716*a(n-30) -6048*a(n-31) +4536*a(n-32) -432*a(n-33) for n>36

Example

Some solutions for n=4
..1..3..0..1....3..3..1..3....0..2..2..3....3..1..3..0....0..2..2..3
..3..2..2..3....0..1..0..3....1..3..3..1....2..3..2..2....1..3..3..1
..3..2..2..3....1..0..1..3....3..2..2..3....2..3..2..2....3..2..2..3
..1..0..0..1....3..1..0..1....3..2..2..0....0..1..3..3....0..2..2..3
..3..2..2..3....3..0..1..3....1..3..3..1....2..3..2..2....1..3..0..1
..3..2..2..3....3..1..3..3....3..2..2..0....2..3..2..2....0..2..2..3

Crossrefs

Sequence in context: A108251 A108252 A188536 * A256026 A200201 A045261

Adjacent sequences: A252343 A252344 A252345 * A252347 A252348 A252349

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved