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A233885 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 30, and no two adjacent values equal. 1
112, 384, 1264, 4292, 14272, 48300, 161168, 544460, 1820160, 6141480, 20556600, 69298740, 232159624, 782096432, 2621850152, 8827674288, 29608245144, 99647390252, 334350373304, 1124887110036, 3775523491352, 12698981481044 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 18*a(n-2) + 4*a(n-3) - 95*a(n-4) - 30*a(n-5) + 165*a(n-6) + 36*a(n-7) - 105*a(n-8) - 8*a(n-9) + 20*a(n-10).
Empirical g.f.: 4*x*(28 + 96*x - 188*x^2 - 767*x^3 + 156*x^4 + 1457*x^5 + 56*x^6 - 940*x^7 - 22*x^8 + 180*x^9) / ((1 + x)*(1 - x - 17*x^2 + 13*x^3 + 82*x^4 - 52*x^5 - 113*x^6 + 77*x^7 + 28*x^8 - 20*x^9)). - Colin Barker, Oct 12 2018
EXAMPLE
Some solutions for n=5:
..3..0....0..3....2..1....1..5....5..4....5..4....0..4....3..1....5..2....1..5
..5..4....4..5....0..4....0..2....2..0....2..0....3..2....6..5....1..0....0..2
..2..0....0..2....3..2....1..5....5..4....5..1....0..4....4..1....5..2....1..5
..1..4....4..5....1..5....3..6....2..0....6..4....3..2....3..5....4..0....0..2
..2..0....6..2....4..6....1..5....5..1....2..1....1..5....0..1....5..3....4..1
..1..4....4..1....1..2....3..2....6..3....0..4....4..3....2..5....1..0....0..2
CROSSREFS
Column 1 of A233892.
Sequence in context: A270759 A352585 A233892 * A235319 A203923 A235312
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2013
STATUS
approved

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)