A234076 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10.

96, 476, 2352, 12152, 63136, 335536, 1789760, 9652704, 52158592, 283301056, 1540148480, 8392758144, 45753840128, 249698446080, 1362969777152, 7443314916864, 40652158732288, 222072701455360, 1213174885371904

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) + 22*a(n-2) - 56*a(n-3) - 120*a(n-4) + 32*a(n-5) + 64*a(n-6).

Empirical g.f.: 4*x*(24 + 23*x - 416*x^2 - 588*x^3 + 240*x^4 + 352*x^5) / ((1 - 4*x - 8*x^2)*(1 - 14*x^2 + 8*x^4)). - Colin Barker, Oct 12 2018

Example

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

Crossrefs

Column 1 of A234083.

Sequence in context: A233717 A233710 A234083 * A337303 A216372 A183684

Adjacent sequences: A234073 A234074 A234075 * A234077 A234078 A234079

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved