A233961 Number of (n+1) X (2+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10.

188, 864, 3976, 20564, 106056, 587472, 3219000, 18340844, 103336120, 594474624, 3391176148, 19563928568, 112234856476, 647875877440, 3726750502572, 21511723279236, 123905848668112, 715090108241552, 4121677019141208

Offset

1,1

Comments

Column 2 of A233967.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +6*a(n-2) -231*a(n-3) +402*a(n-4) +1164*a(n-5) -3026*a(n-6) -973*a(n-7) +5685*a(n-8) -1687*a(n-9) -2838*a(n-10) +1862*a(n-11) -188*a(n-12) -88*a(n-13) +16*a(n-14).

Example

Some solutions for n=5:
..3..2..1....0..1..0....0..1..2....1..0..1....2..0..2....2..3..2....0..3..0
..0..3..0....0..3..2....3..0..3....3..2..3....1..3..3....1..0..1....0..1..0
..3..2..1....0..1..0....0..1..2....1..0..1....2..0..2....0..3..2....3..0..3
..0..3..0....3..0..3....2..3..0....0..3..0....3..3..3....0..1..0....0..1..0
..1..2..1....1..0..1....0..1..0....2..1..0....2..0..2....3..0..3....0..3..2
..3..0..3....2..3..2....0..3..0....3..0..3....1..3..1....1..2..3....0..1..0

Crossrefs

Sequence in context: A211814 A335592 A233786 * A073586 A064115 A185241

Adjacent sequences: A233958 A233959 A233960 * A233962 A233963 A233964

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved