A202772 - OEIS

A202772

Number of (n+2)X5 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals

424, 1239, 2870, 6176, 12886, 25360, 48953, 92399, 171271, 314248, 570301, 1027913, 1841949, 3285067, 5839603, 10350122, 18305871, 32322564, 56992878, 100391868, 176690802, 310778090, 546351882, 960110192, 1686700621, 2962447909

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OFFSET

1,1

COMMENTS

Column 3 of A202777

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +3*a(n-2) -a(n-3) -15*a(n-4) -5*a(n-5) +21*a(n-6) +34*a(n-7) -10*a(n-8) -50*a(n-9) -32*a(n-10) +29*a(n-11) +51*a(n-12) +14*a(n-13) -22*a(n-14) -28*a(n-15) -7*a(n-16) +4*a(n-17) +12*a(n-18) +6*a(n-19) +a(n-20) -5*a(n-21) -2*a(n-22) +a(n-24)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A114808 A134218 A246733 * A220541 A091292 A184766

Adjacent sequences: A202769 A202770 A202771 * A202773 A202774 A202775

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 23 2011

STATUS

approved