A237505 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

328, 1724, 9108, 50876, 284368, 1553960, 8478776, 46757986, 257959884, 1416477192, 7776398684, 42785177212, 235416777178, 1294039386286, 7112841515544, 39114977306998, 215104356057896, 1182657379537690

Offset

1,1

Comments

Column 2 of A237511

Links

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

Formula

Empirical: a(n) = 51*a(n-3) +452*a(n-4) +957*a(n-5) +1876*a(n-6) -1653*a(n-7) -28721*a(n-8) -62762*a(n-9) -54279*a(n-10) +103874*a(n-11) +439699*a(n-12) +514519*a(n-13) +101483*a(n-14) -1040322*a(n-15) -1791750*a(n-16) -259805*a(n-17) +1006112*a(n-18) +1409914*a(n-19) +1597459*a(n-20) -244216*a(n-21) -1055715*a(n-22) -360036*a(n-23) -212913*a(n-24) -59275*a(n-25) -17332*a(n-26) -1418*a(n-27) -86*a(n-28) +8*a(n-29)

Example

Some solutions for n=4
..1..2..1....0..2..1....1..1..0....1..2..1....1..1..1....2..1..1....1..1..1
..2..2..0....1..0..2....1..2..0....1..1..0....1..0..2....1..2..1....1..0..2
..2..0..1....1..1..1....2..1..2....2..2..2....2..1..2....0..2..2....0..2..1
..1..0..1....0..2..1....0..2..2....0..1..1....2..0..1....1..1..0....1..2..1
..1..1..2....2..2..2....0..1..0....2..1..0....0..1..0....1..2..0....0..0..2

Crossrefs

Sequence in context: A126311 A097738 A239536 * A183848 A205251 A138078

Adjacent sequences: A237502 A237503 A237504 * A237506 A237507 A237508

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved