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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.
1
96, 476, 2352, 12152, 63136, 335536, 1789760, 9652704, 52158592, 283301056, 1540148480, 8392758144, 45753840128, 249698446080, 1362969777152, 7443314916864, 40652158732288, 222072701455360, 1213174885371904
OFFSET
1,1
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 19 2013
STATUS
approved