A252100 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7

6549, 5087, 10878, 26996, 86550, 252110, 727203, 2385233, 7252003, 21530207, 71430665, 221511832, 667563186, 2234984052, 7007535529, 21309886921, 71700419249, 226330484881, 692070910403, 2335258232195, 7403217685030

Offset

1,1

Comments

Column 3 of A252105

Links

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

Formula

Empirical: a(n) = 121*a(n-3) -5937*a(n-6) +154353*a(n-9) -2364224*a(n-12) +22951313*a(n-15) -152709878*a(n-18) +752997828*a(n-21) -2920990348*a(n-24) +9082319607*a(n-27) -22187243836*a(n-30) +41247616613*a(n-33) -56892460471*a(n-36) +57041236287*a(n-39) -40490200089*a(n-42) +19518932902*a(n-45) -5986474912*a(n-48) +1050763680*a(n-51) -87110400*a(n-54) +2304000*a(n-57) for n>62

Example

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

Crossrefs

Sequence in context: A251110 A248064 A236898 * A137231 A321824 A043488

Adjacent sequences: A252097 A252098 A252099 * A252101 A252102 A252103

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved