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A184063 Number of (n+1) X 2 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
7, 11, 20, 34, 54, 81, 116, 160, 214, 279, 356, 446, 550, 669, 804, 956, 1126, 1315, 1524, 1754, 2006, 2281, 2580, 2904, 3254, 3631, 4036, 4470, 4934, 5429, 5956, 6516, 7110, 7739, 8404, 9106, 9846, 10625, 11444, 12304, 13206, 14151, 15140, 16174, 17254 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 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*(7 - 17*x + 18*x^2 - 8*x^3 + x^4) / (1 - x)^4.

a(n) = (n^3 + 6*n^2 + 5*n + 24) / 6 for n>1.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>5.

(End)

EXAMPLE

Some solutions for 3 X 2:

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

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

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

...

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

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

CROSSREFS

Cf. A184071.

Sequence in context: A321806 A057190 A106674 * A076854 A194828 A035704

Adjacent sequences:  A184060 A184061 A184062 * A184064 A184065 A184066

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 09 2011

STATUS

approved

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Last modified January 27 05:41 EST 2021. Contains 340455 sequences. (Running on oeis4.)