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A209650 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically 10
2, 4, 4, 6, 16, 6, 9, 36, 36, 8, 14, 81, 102, 64, 10, 22, 196, 270, 216, 100, 12, 35, 484, 798, 630, 390, 144, 14, 56, 1225, 2354, 2156, 1215, 636, 196, 16, 90, 3136, 7210, 7128, 4690, 2079, 966, 256, 18, 145, 8100, 22232, 24990, 16830, 8904, 3276, 1392, 324, 20, 234 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2...4....6....9....14.....22.....35......56.......90......145.......234

..4..16...36...81...196....484...1225....3136.....8100....21025.....54756

..6..36..102..270...798...2354...7210...22232....69570...218950....693810

..8..64..216..630..2156...7128..24990...87136...311040..1112150...4018716

.10.100..390.1215..4690..16830..65765..251160...994050..3911375..15639390

.12.144..636.2079..8904..34012.145775..597856..2579940.10954895..47622744

.14.196..966.3276.15386..61754.287140.1247736..5805450.26247900.122620446

.16.256.1392.4860.24808.103664.518700.2364992.11769120.56106300.279344520

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..2828

FORMULA

Empirical for column k:

k=1: a(n) = 2*n

k=2: a(n) = 4*n^2

k=3: a(n) = 2*n^3 + 6*n^2 - 2*n

k=4: a(n) = 9*n^3 + (9/2)*n^2 - (9/2)*n

k=5: a(n) = (7/2)*n^4 + 21*n^3 - (7/2)*n^2 - 7*n

k=6: a(n) = 22*n^4 + (88/3)*n^3 - 22*n^2 - (22/3)*n

k=7: a(n) = 7*n^5 + 70*n^4 + (35/3)*n^3 - (105/2)*n^2 - (7/6)*n

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 2 is A016742

Column 3 is A086113

Row 1 is A001611(n+2)

Row 2 is A207436

Row 3 is A207747

Sequence in context: A207391 A207938 A207068 * A207599 A207703 A267719

Adjacent sequences:  A209647 A209648 A209649 * A209651 A209652 A209653

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 11 2012

STATUS

approved

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Last modified January 19 04:56 EST 2022. Contains 350464 sequences. (Running on oeis4.)