A252125 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7

1214, 5622, 25017, 44895, 263585, 1322632, 2216594, 14725300, 78319500, 126119849, 891349127, 4860491003, 7690347441, 55811257617, 307377614835, 482854484302, 3541783303240, 19581698268041, 30673268236425

Offset

1,1

Comments

Column 3 of A252130

Links

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

Formula

Empirical: a(n) = a(n-1) +140*a(n-3) -140*a(n-4) -6911*a(n-6) +6911*a(n-7) +152837*a(n-9) -152837*a(n-10) -1442504*a(n-12) +1442504*a(n-13) +2343083*a(n-15) -2343083*a(n-16) +39334064*a(n-18) -39334064*a(n-19) -202724388*a(n-21) +202724388*a(n-22) +108881376*a(n-24) -108881376*a(n-25) +1256967648*a(n-27) -1256967648*a(n-28) -3002648832*a(n-30) +3002648832*a(n-31) +2388828672*a(n-33) -2388828672*a(n-34) -597196800*a(n-36) +597196800*a(n-37) for n>42

Example

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

Crossrefs

Sequence in context: A184464 A204331 A105311 * A251815 A130680 A346207

Adjacent sequences: A252122 A252123 A252124 * A252126 A252127 A252128

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved