A238282 Number of (n+1)X(2+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

16, 204, 1844, 13948, 105862, 850420, 6953993, 56279542, 451637564, 3624058880, 29149448933, 234656231134, 1888292962943, 15189590878387, 122183775722351, 982931386549726, 7907698617955660, 63616689428833346, 511782089100478490

Offset: 1

Author

R. H. Hardin, Feb 22 2014

Keywords

• nonn

Comments

Column 2 of A238287

Examples

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

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +185*a(n-3) -107*a(n-4) +907*a(n-5) +577*a(n-6) +1691*a(n-7) -223*a(n-8) -2043*a(n-9) -4899*a(n-10) -7123*a(n-11) -255*a(n-12) +10972*a(n-13) +9211*a(n-14) -2698*a(n-15) -7428*a(n-16) -2381*a(n-17) +1946*a(n-18) +1556*a(n-19) +67*a(n-20) -283*a(n-21) -88*a(n-22) +9*a(n-23) +8*a(n-24) +a(n-25)