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A266062
Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.
1
3, 17, 35, 89, 323, 1057, 3027, 9257, 29835, 92561, 288027, 898873, 2818275, 8824849, 27652507, 86466761, 270984643, 849833089, 2661782123, 8337922937, 26141124755, 81934791281, 256731280891, 804699050537, 2522377797859, 7905371708193
OFFSET
1,1
COMMENTS
Column 2 of A266067.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +2*a(n-2) +20*a(n-3) +30*a(n-4) -50*a(n-5) -160*a(n-6) -512*a(n-7) -404*a(n-8) +948*a(n-9) +1880*a(n-10) +4248*a(n-11) +1088*a(n-12) -3776*a(n-13) -7488*a(n-14) -5376*a(n-15) +4352*a(n-16) +4608*a(n-17) +8192*a(n-18)
EXAMPLE
Some solutions for n=4
..0..1....0..1....0..0....2..2....1..0....0..0....1..0....1..0....1..2....0..1
..2..1....2..2....0..0....1..1....1..1....2..2....2..2....1..1....1..0....2..1
..2..2....1..0....0..2....1..0....1..1....1..1....1..0....1..1....2..2....2..2
..1..0....1..2....1..1....1..2....1..0....1..0....1..1....0..1....1..0....0..1
CROSSREFS
Cf. A266067.
Sequence in context: A146021 A146133 A297735 * A031290 A152908 A031386
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 20 2015
STATUS
approved