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

1,1

Comments

Column 2 of A238287

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)

Example

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

Crossrefs

Sequence in context: A282834 A144632 A221825 * A161729 A157707 A016217

Adjacent sequences: A238279 A238280 A238281 * A238283 A238284 A238285

Keyword

nonn

Author

R. H. Hardin, Feb 22 2014

Status

approved