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 A208840 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically 10
 2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 78, 81, 14, 26, 256, 282, 171, 196, 22, 42, 676, 768, 855, 406, 484, 35, 68, 1764, 2430, 2421, 3010, 990, 1225, 56, 110, 4624, 7086, 9801, 8736, 11242, 2485, 3136, 90, 178, 12100, 21588, 31419, 49126, 33088, 44275 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4....6.....10.....16.......26.......42........68........110.........178 ..4...16...36....100....256......676.....1764......4624......12100.......31684 ..6...36...78....282....768.....2430.....7086.....21588......64230......193554 ..9...81..171....855...2421.....9801....31419....116919.....394965.....1419849 .14..196..406...3010...8736....49126...169974....833364....3166030....14462714 .22..484..990..11242..33088...272206...992574...6800596...28280758...173714530 .35.1225.2485..44275.131355..1644265..6206445..62470275..277136755..2417186345 .56.3136.6328.179032.533568.10399480.40122936.613538688.2842543480.36689660504 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1465 FORMULA Empirical for row n: n=1: a(k)=a(k-1)+a(k-2) n=2: a(k)=2*a(k-1)+2*a(k-2)-a(k-3) n=3: a(k)=2*a(k-1)+4*a(k-2)-3*a(k-3) n=4: a(k)=2*a(k-1)+7*a(k-2)-6*a(k-3) n=5: a(k)=2*a(k-1)+12*a(k-2)-11*a(k-3) n=6: a(k)=2*a(k-1)+20*a(k-2)-19*a(k-3) n=7: a(k)=2*a(k-1)+33*a(k-2)-32*a(k-3) EXAMPLE Some solutions for n=4 k=3 ..1..0..0....1..1..1....1..1..1....1..0..1....0..1..0....0..1..0....0..1..1 ..0..1..1....0..1..0....1..1..0....1..0..0....1..1..0....1..0..1....0..1..1 ..1..0..0....0..1..0....1..1..1....1..1..1....0..1..0....0..1..0....0..1..1 ..0..1..1....0..1..1....1..1..0....1..0..0....0..1..0....1..0..0....1..1..1 CROSSREFS Column 1 is A001611(n+2) Column 2 is A207436 Column 3 is A208103 Row 1 is A006355(n+2) Row 2 is A206981 Row 3 is A208689 Sequence in context: A208501 A207589 A208069 * A208688 A207774 A207661 Adjacent sequences: A208837 A208838 A208839 * A208841 A208842 A208843 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 01 2012 STATUS approved

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Last modified September 17 21:55 EDT 2024. Contains 375990 sequences. (Running on oeis4.)