A189198 - OEIS

A189198

Number of 5Xn binary arrays without the pattern 0 0 1 vertically or antidiagonally

20, 400, 6446, 101628, 1579664, 24496092, 379515360, 5878642448, 91053926856, 1410308064720, 21843768123936, 338330131913680, 5240270191277760, 81164599671831296, 1257128330483644640, 19471193573584406720

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 5 of A189196

LINKS

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

FORMULA

Empirical: a(n) = 20*a(n-1) -60*a(n-2) -208*a(n-3) +844*a(n-4) +344*a(n-5) -3476*a(n-6) +3544*a(n-7) -1056*a(n-8)

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Sequence in context: A083276 A057745 A224386 * A224019 A171294 A267793

Adjacent sequences: A189195 A189196 A189197 * A189199 A189200 A189201

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 18 2011

STATUS

approved