A237457 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

308, 1376, 5938, 25974, 113324, 496942, 2183186, 9577336, 41971324, 184102474, 807827730, 3543250384, 15538743130, 68158488618, 298985438448, 1311406306956, 5751938471714, 25229703215602, 110665842504412, 485405880082358

Offset

1,1

Comments

Column 2 of A237463

Links

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

Formula

Empirical: a(n) = 34*a(n-3) +172*a(n-4) +254*a(n-5) +282*a(n-6) -973*a(n-7) -4066*a(n-8) -3238*a(n-9) +3634*a(n-10) +13908*a(n-11) +5602*a(n-12) -22988*a(n-13) -3264*a(n-14) +22488*a(n-15) -7392*a(n-16) -13696*a(n-17) +4608*a(n-18) +4096*a(n-19)

Example

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

Crossrefs

Sequence in context: A118843 A224675 A249552 * A234211 A053172 A343273

Adjacent sequences: A237454 A237455 A237456 * A237458 A237459 A237460

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved