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A188827 Number of 5Xn binary arrays without the pattern 0 1 diagonally or antidiagonally 1
32, 36, 120, 400, 1360, 4624, 15776, 53824, 183744, 627264, 2141568, 7311616, 24963328, 85229824, 290992640, 993510400, 3392056320, 11581203456, 39540701184, 135000395776, 460920180736, 1573679927296, 5372879347712 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A188824

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -8*a(n-3) +4*a(n-4) for n>5

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Sequence in context: A095463 A095457 A045226 * A030094 A082591 A070624

Adjacent sequences:  A188824 A188825 A188826 * A188828 A188829 A188830

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 11 2011

STATUS

approved

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Last modified May 21 02:50 EDT 2013. Contains 225474 sequences.