A251774 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 3 or 6 and every diagonal and antidiagonal sum not 3 or 6

2402, 12242, 43778, 144818, 748002, 2861058, 9758786, 51133714, 198564354, 686684594, 3603903074, 14088001090, 48981683138, 257125287186, 1008045990530, 3513119136818, 18441418806242, 72394912324098, 252574488177986

Offset

1,1

Comments

Column 3 of A251779

Links

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

Formula

Empirical: a(n) = a(n-1) +136*a(n-3) -136*a(n-4) -5887*a(n-6) +5887*a(n-7) +101320*a(n-9) -101320*a(n-10) -666383*a(n-12) +666383*a(n-13) +315640*a(n-15) -315640*a(n-16) +12897775*a(n-18) -12897775*a(n-19) -37245000*a(n-21) +37245000*a(n-22) -21768000*a(n-24) +21768000*a(n-25) +138816000*a(n-27) -138816000*a(n-28) -27648000*a(n-30) +27648000*a(n-31)

Example

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

Crossrefs

Sequence in context: A013845 A352730 A031776 * A031547 A031727 A236038

Adjacent sequences: A251771 A251772 A251773 * A251775 A251776 A251777

Keyword

nonn

Author

R. H. Hardin, Dec 08 2014

Status

approved