A228757 - OEIS

A228757

Number of 5Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.

16, 55, 723, 4808, 43862, 342207, 2876170, 23326164, 192379841, 1574217212, 12928573892, 106000461919, 869759215471, 7134075563384, 58525595955046, 480089753747591, 3938341082031018, 32307082900690396, 265023929648410933

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OFFSET

1,1

COMMENTS

Row 5 of A228754

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = a(n-1) +49*a(n-2) +107*a(n-3) -154*a(n-4) -404*a(n-5) +250*a(n-6) +472*a(n-7) -278*a(n-8) -168*a(n-9) +131*a(n-10) -9*a(n-11) -7*a(n-12) +a(n-13)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A152096 A188701 A297341 * A220536 A291671 A029719

Adjacent sequences: A228754 A228755 A228756 * A228758 A228759 A228760

KEYWORD

nonn

AUTHOR

R. H. Hardin Sep 02 2013

STATUS

approved