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A184064 Number of (n+1) X 3 binary arrays with rows and columns in nondecreasing order and with no 2 X 2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. 1
11, 16, 36, 73, 134, 225, 354, 529, 758, 1049, 1410, 1849, 2374, 2993, 3714, 4545, 5494, 6569, 7778, 9129, 10630, 12289, 14114, 16113, 18294, 20665, 23234, 26009, 28998, 32209, 35650, 39329, 43254, 47433, 51874, 56585, 61574, 66849, 72418, 78289, 84470 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A184071.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Conjectures from Colin Barker, Apr 11 2018: (Start)

G.f.: x*(11 - 28*x + 38*x^2 - 19*x^3 + 5*x^4 - x^5 + 2*x^6) / (1 - x)^4.

a(n) = (4*n^3 - 15*n^2 + 74*n - 93) / 3 for n>3.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>7.

(End)

EXAMPLE

Some solutions for 4 X 3:

..0..0..1....1..1..1....0..0..0....0..0..1....0..0..0....0..1..1....0..1..1

..0..1..0....1..1..1....0..0..1....0..1..0....0..0..0....1..0..1....1..0..1

..1..0..1....1..1..1....0..1..0....0..1..1....0..0..0....1..0..1....1..0..1

..1..1..1....1..1..1....0..1..0....1..1..0....0..0..0....1..1..0....1..1..1

...

...1..2.......4..4.......0..1.......1..2.......0..0.......2..3.......2..3...

...2..2.......4..4.......1..2.......2..3.......0..0.......2..2.......2..2...

...3..3.......4..4.......2..2.......3..3.......0..0.......3..2.......3..3...

CROSSREFS

Cf. A184071.

Sequence in context: A327752 A128835 A316171 * A302207 A032311 A032221

Adjacent sequences:  A184061 A184062 A184063 * A184065 A184066 A184067

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 09 2011

STATUS

approved

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Last modified January 15 08:43 EST 2021. Contains 340186 sequences. (Running on oeis4.)