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A236011 Number of (n+1) X (1+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2 X 2 subblock. 1
81, 306, 1276, 4672, 18784, 70688, 278352, 1062192, 4143280, 15915216, 61792048, 238127760, 922461744, 3560485008, 13777495472, 53218656784, 205822482224, 795331807888, 3075135853232, 11884984533264, 45947260928560 (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) = 9*a(n-2) + 14*a(n-3) + 30*a(n-4) + 16*a(n-5) + 8*a(n-6) for n>7.

Empirical g.f.: x*(81 + 306*x + 547*x^2 + 784*x^3 + 586*x^4 + 300*x^5 + 64*x^6) / (1 - 9*x^2 - 14*x^3 - 30*x^4 - 16*x^5 - 8*x^6). - Colin Barker, Oct 20 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 1 of A236018.

Sequence in context: A236018 A206685 A206270 * A206678 A237463 A237456

Adjacent sequences:  A236008 A236009 A236010 * A236012 A236013 A236014

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 18 2014

STATUS

approved

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Last modified January 26 12:06 EST 2021. Contains 340439 sequences. (Running on oeis4.)