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A237465 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 1
81, 356, 1566, 6954, 30913, 136488, 603184, 2671904, 11847888, 52383008, 231824656, 1026098208, 4546286096, 20109616256, 89038511104, 393995791360, 1745176506880, 7720658462720, 34190008144896, 151276942817792 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 288*a(n-4) + 1840*a(n-6) + 784*a(n-8).

Empirical g.f.: x*(81 + 356*x + 1566*x^2 + 6954*x^3 + 7585*x^4 + 33960*x^5 + 3136*x^6 + 14112*x^7) / (1 - 288*x^4 - 1840*x^6 - 784*x^8). - Colin Barker, Oct 22 2018

EXAMPLE

Some solutions for n=5:

..0..0....0..1....2..0....1..1....2..1....1..1....1..0....2..0....0..1....1..0

..0..0....2..1....1..1....1..1....1..2....2..2....1..0....0..2....0..0....2..0

..0..1....0..0....0..1....0..2....0..1....1..2....0..2....1..2....0..0....0..0

..1..2....2..2....0..1....1..0....0..0....2..0....0..2....1..1....1..2....0..1

..0..2....1..1....2..2....0..1....0..0....2..0....1..2....2..2....2..2....2..1

..1..1....0..0....0..0....2..0....2..1....2..1....0..1....0..2....0..1....2..1

CROSSREFS

Column 1 of A237472.

Sequence in context: A237317 A237723 A237472 * A236997 A236065 A206676

Adjacent sequences:  A237462 A237463 A237464 * A237466 A237467 A237468

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 08 2014

STATUS

approved

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Last modified May 24 08:57 EDT 2022. Contains 354026 sequences. (Running on oeis4.)