A233869 Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21

224, 1176, 5984, 34416, 189632, 1128928, 6414208, 38622656, 222041856, 1341849472, 7749914112, 46887986944, 271306185728, 1642034355712, 9508544919552, 57555613998080, 333396836184064, 2018143397804032

Offset

1,1

Comments

Column 1 of A233875

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +72*a(n-2) -136*a(n-3) -1764*a(n-4) +2984*a(n-5) +18928*a(n-6) -25920*a(n-7) -92800*a(n-8) +81920*a(n-9) +204800*a(n-10) -81920*a(n-11) -172032*a(n-12) +16384*a(n-13) +32768*a(n-14)

Example

Some solutions for n=5
..0..6....0..1....0..6....6..6....6..3....0..7....2..5....6..0....0..7....4..1
..6..7....1..7....3..0....0..3....0..6....3..3....7..1....4..1....1..1....7..1
..0..6....6..3....6..0....3..7....5..2....7..0....6..3....7..7....0..7....2..5
..3..0....6..0....3..6....3..0....6..0....7..7....1..7....4..1....6..6....7..1
..6..0....0..3....0..6....0..6....6..7....7..0....2..5....6..0....7..0....0..1
..1..4....6..6....7..6....3..6....6..0....2..2....1..7....3..0....4..4....7..1

Crossrefs

Sequence in context: A061524 A156813 A233875 * A146745 A015048 A229589

Adjacent sequences: A233866 A233867 A233868 * A233870 A233871 A233872

Keyword

nonn

Author

R. H. Hardin, Dec 17 2013

Status

approved