A252612 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

6403, 13879, 58239, 147592, 814008, 4274586, 11003134, 62184813, 344281115, 865035915, 4979018733, 28760743204, 70988021803, 414853576330, 2472512442151, 6024716842128, 35595268483125, 216826571010555, 523674511193047

Offset

1,1

Comments

Column 5 of A252615

Links

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

Formula

Empirical: a(n) = 168*a(n-3) -8374*a(n-6) +137544*a(n-9) -1291860*a(n-12) +8966234*a(n-15) -42372903*a(n-18) +111840252*a(n-21) -137350852*a(n-24) +63180592*a(n-27) -3100800*a(n-30) for n>38

Example

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

Crossrefs

Sequence in context: A269827 A270056 A031578 * A259060 A259078 A104374

Adjacent sequences: A252609 A252610 A252611 * A252613 A252614 A252615

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved