A252429 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7

1693, 1488, 2971, 7575, 20187, 53028, 139425, 374789, 987296, 2598603, 6980876, 18418693, 48445791, 130135991, 343594820, 903608172, 2427038718, 6410968020, 16858590226, 45274217595, 119646835494, 314596556735, 844728863140

Offset

1,1

Comments

Column 4 of A252433

Links

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

Formula

Empirical: a(n) = 43*a(n-3) -607*a(n-6) +3969*a(n-9) -25465*a(n-12) +104694*a(n-15) -390554*a(n-18) +1065198*a(n-21) -2336824*a(n-24) +3653382*a(n-27) -2758779*a(n-30) +95370*a(n-33) +1117676*a(n-36) -418109*a(n-39) -95329*a(n-42) -78740*a(n-45) +37358*a(n-48) +22825*a(n-51) -9860*a(n-54) +9262*a(n-57) +4266*a(n-60) +111*a(n-63) +92*a(n-66) +21*a(n-69) +a(n-72) for n>74

Example

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

Crossrefs

Sequence in context: A120564 A237533 A089674 * A126720 A366644 A325884

Adjacent sequences: A252426 A252427 A252428 * A252430 A252431 A252432

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved