A237008 Number of (n+1)X(1+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal

256, 704, 1936, 5984, 18496, 61472, 204304, 712352, 2483776, 8957984, 32307856, 119454944, 441672256, 1663878752, 6268205584, 23952380192, 91528031296, 353581084064, 1365915788176, 5320845079904, 20727040868416, 81257847595232

Offset

1,1

Comments

Column 1 of A237015

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +16*a(n-2) -268*a(n-3) +189*a(n-4) +3388*a(n-5) -5824*a(n-6) -20048*a(n-7) +49756*a(n-8) +52752*a(n-9) -196896*a(n-10) -24192*a(n-11) +369216*a(n-12) -131328*a(n-13) -262656*a(n-14) +165888*a(n-15)

Example

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

Crossrefs

Sequence in context: A086061 A235092 A237015 * A045057 A195091 A361176

Adjacent sequences: A237005 A237006 A237007 * A237009 A237010 A237011

Keyword

nonn

Author

R. H. Hardin, Feb 02 2014

Status

approved