A236792 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal

255, 1231, 6217, 34163, 191657, 1116735, 6597729, 39752795, 241456349, 1481423855, 9128173539, 56528510141, 350835283263, 2182763442241, 13595247632269, 84778601345407, 528959639062227, 3302250773429227

Offset

1,1

Comments

Column 2 of A236798

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -9*a(n-2) -880*a(n-3) +3426*a(n-4) +18155*a(n-5) -121505*a(n-6) -115924*a(n-7) +2003052*a(n-8) -1313613*a(n-9) -18570720*a(n-10) +30811261*a(n-11) +100624740*a(n-12) -269758235*a(n-13) -288602304*a(n-14) +1357891776*a(n-15) +124420915*a(n-16) -4267235783*a(n-17) +2172222593*a(n-18) +8388777279*a(n-19) -8441776674*a(n-20) -9593628558*a(n-21) +15912829245*a(n-22) +4511594574*a(n-23) -17273359586*a(n-24) +2518712071*a(n-25) +10814653852*a(n-26) -4621110462*a(n-27) -3640874304*a(n-28) +2541569180*a(n-29) +539526448*a(n-30) -683839304*a(n-31) +5712224*a(n-32) +95082784*a(n-33) -11026368*a(n-34) -6334080*a(n-35) +1095936*a(n-36) +148480*a(n-37) -29696*a(n-38)

Example

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

Crossrefs

Sequence in context: A158010 A236783 A237061 * A259247 A204738 A206048

Adjacent sequences: A236789 A236790 A236791 * A236793 A236794 A236795

Keyword

nonn

Author

R. H. Hardin, Jan 31 2014

Status

approved