A251825 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6

22266, 75498, 397474, 1692106, 10655426, 60427490, 266585018, 1720131962, 9899825738, 44110390034, 286549040066, 1655932624738, 7402688238938, 48189908925410, 278843662602562, 1247991528395130, 8129795907826714

Offset

1,1

Comments

Column 4 of A251829

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +256*a(n-3) -1507*a(n-4) +2504*a(n-5) -15622*a(n-6) +86462*a(n-7) -142108*a(n-8) +104437*a(n-9) -212868*a(n-10) +227032*a(n-11) +9673462*a(n-12) -58703401*a(n-13) +99055038*a(n-14) -187281492*a(n-15) +830215952*a(n-16) -1307749696*a(n-17) +927570696*a(n-18) -1688149788*a(n-19) +1067551368*a(n-20) -205352576*a(n-21) +1585658048*a(n-22) +6765516160*a(n-23) -12868444160*a(n-24) +4796420096*a(n-25) +233971712*a(n-26) for n>28

Example

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

Crossrefs

Sequence in context: A253737 A185608 A204148 * A119568 A204333 A252774

Adjacent sequences: A251822 A251823 A251824 * A251826 A251827 A251828

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved