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A188839 Number of n X 5 binary arrays without the pattern 0 1 diagonally or vertically. 1
32, 144, 364, 728, 1288, 2108, 3264, 4845, 6954, 9709, 13244, 17710, 23276, 30130, 38480, 48555, 60606, 74907, 91756, 111476, 134416, 160952, 191488, 226457, 266322, 311577, 362748, 420394, 485108, 557518, 638288, 728119, 827750, 937959, 1059564 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A188843.

LINKS

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

FORMULA

Empirical: a(n) = (1/120)*n^5 + (7/24)*n^4 + (89/24)*n^3 + (473/24)*n^2 + (1877/60)*n - 33 for n>2.

Empirical g.f.: x*(32 - 48*x - 20*x^2 + 64*x^3 - 20*x^4 - 12*x^5 + 4*x^6 + x^7) / (1 - x)^6. - Colin Barker, Apr 30 2018

EXAMPLE

Some solutions for 3 X 5:

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

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

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

CROSSREFS

Cf. A188843.

Sequence in context: A100164 A048191 A224041 * A188702 A297342 A228758

Adjacent sequences:  A188836 A188837 A188838 * A188840 A188841 A188842

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 12 2011

STATUS

approved

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Last modified June 29 05:44 EDT 2022. Contains 354910 sequences. (Running on oeis4.)