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 A207254 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically 11
 2, 4, 4, 6, 16, 6, 8, 36, 36, 10, 10, 64, 102, 100, 16, 12, 100, 216, 370, 256, 26, 14, 144, 390, 940, 1232, 676, 42, 16, 196, 636, 1950, 3776, 4238, 1764, 68, 18, 256, 966, 3560, 9072, 15652, 14406, 4624, 110, 20, 324, 1392, 5950, 18688, 43498, 64176, 49164 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4.....6......8.....10......12......14.......16.......18.......20 ..4...16....36.....64....100.....144.....196......256......324......400 ..6...36...102....216....390.....636.....966.....1392.....1926.....2580 .10..100...370....940...1950....3560....5950.....9320....13890....19900 .16..256..1232...3776...9072...18688...34608....59264....95568...146944 .26..676..4238..15652..43498..101036..207298...388232...677898..1119716 .42.1764.14406..64176.206514..541380.1231650..2524704..4777290..8483748 .68.4624.49164.263976.982940.2906592.7328836.16436824.33693660.64313720 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1057 FORMULA Empirical for row n: n=1: a(k) = 2*k n=2: a(k) = 4*k^2 n=3: a(k) = 2*k^3 + 6*k^2 - 2*k n=4: a(k) = (5/6)*k^4 + (35/3)*k^3 - (5/6)*k^2 - (5/3)*k n=5: a(k) = (4/15)*k^5 + (32/3)*k^4 + (44/3)*k^3 - (32/3)*k^2 + (16/15)*k n=6: a(k) = (13/180)*k^6 + (143/20)*k^5 + (1235/36)*k^4 - (39/4)*k^3 - (377/45)*k^2 + (13/5)*k n=7: a(k) = (1/60)*k^7 + (77/20)*k^6 + (2527/60)*k^5 + (119/4)*k^4 - (644/15)*k^3 + (42/5)*k^2 + (4/5)*k EXAMPLE Some solutions for n=4 k=3 ..1..1..0....0..0..0....1..0..0....0..0..0....1..1..1....1..0..0....1..1..1 ..1..0..0....0..0..0....0..0..0....0..1..1....1..1..1....1..0..0....1..1..1 ..1..0..0....1..1..1....0..0..0....1..1..1....0..1..0....1..0..0....1..1..1 ..0..1..1....1..1..1....0..1..1....1..0..0....0..1..0....1..0..0....1..1..1 CROSSREFS Column 1 is A006355(n+2) Column 2 is A206981 Row 2 is A016742 Row 3 is A086113 Sequence in context: A276985 A081238 A333823 * A207403 A208142 A207024 Adjacent sequences:  A207251 A207252 A207253 * A207255 A207256 A207257 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 16 2012 STATUS approved

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Last modified September 28 04:53 EDT 2021. Contains 347703 sequences. (Running on oeis4.)