A236813 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal

303, 1791, 10702, 66853, 419301, 2680296, 17221539, 111813697, 729282012, 4786748055, 31528549737, 208503506840, 1382369251257, 9189156815701, 61193561041026, 408217953424503, 2726599132619631, 18232898224831510

Offset

1,1

Comments

Column 2 of A236819

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -100*a(n-2) -822*a(n-3) +9025*a(n-4) -6166*a(n-5) -227164*a(n-6) +761691*a(n-7) +2056841*a(n-8) -14904183*a(n-9) +4818303*a(n-10) +131300778*a(n-11) -239600971*a(n-12) -518603618*a(n-13) +1978489660*a(n-14) +49780225*a(n-15) -7775913759*a(n-16) +7725412959*a(n-17) +14487841224*a(n-18) -31018825865*a(n-19) -3698011866*a(n-20) +55220616016*a(n-21) -33860955124*a(n-22) -43168404248*a(n-23) +59680526360*a(n-24) +1187247872*a(n-25) -39820734688*a(n-26) +18284518864*a(n-27) +8552972960*a(n-28) -9006433472*a(n-29) +1006397632*a(n-30) +1171967872*a(n-31) -352288384*a(n-32) -23834624*a(n-33) +14026752*a(n-34)

Example

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

Crossrefs

Sequence in context: A252598 A252597 A237093 * A332130 A291132 A328277

Adjacent sequences: A236810 A236811 A236812 * A236814 A236815 A236816

Keyword

nonn

Author

R. H. Hardin, Jan 31 2014

Status

approved