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A188556 Number of 5Xn binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally 1
6, 11, 20, 36, 64, 112, 192, 321, 522, 825, 1268, 1898, 2772, 3958, 5536, 7599, 10254, 13623, 17844, 23072, 29480, 37260, 46624, 57805, 71058, 86661, 104916, 126150, 150716, 178994, 211392, 248347, 290326, 337827, 391380, 451548, 518928, 594152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A188553

LINKS

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

FORMULA

Empirical: a(n) = (1/120)*n^5 - (1/24)*n^4 + (3/8)*n^3 + (1/24)*n^2 + (157/60)*n + 3

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Sequence in context: A102305 A160842 A007745 * A021011 A000382 A208670

Adjacent sequences:  A188553 A188554 A188555 * A188557 A188558 A188559

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 04 2011

STATUS

approved

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Last modified December 13 19:20 EST 2017. Contains 295976 sequences.