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 A232920 T(n,k)=Number of nXk 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally 11
 3, 6, 9, 12, 18, 27, 24, 54, 54, 81, 48, 144, 246, 162, 243, 96, 396, 912, 1122, 486, 729, 192, 1080, 3612, 5808, 5118, 1458, 2187, 384, 2952, 13992, 33702, 37008, 23346, 4374, 6561, 768, 8064, 54600, 186720, 316800, 235824, 106494, 13122, 19683, 1536, 22032 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3......6.......12........24..........48............96............192 .....9.....18.......54.......144.........396..........1080...........2952 ....27.....54......246.......912........3612.........13992..........54600 ....81....162.....1122......5808.......33702........186720........1054446 ...243....486.....5118.....37008......316800.......2515716.......20706696 ...729...1458....23346....235824.....2986152......33994188......409408542 ..2187...4374...106494...1502736....28178262.....459797904.....8119777890 ..6561..13122...485778...9575856...266016264....6221092260...161274860934 .19683..39366..2215902..61020048..2511769872...84180552504..3205524631536 .59049.118098.10107954.388836912.23718269934.1139126465856.63736076920680 LINKS R. H. Hardin, Table of n, a(n) for n = 1..391 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) k=2: a(n) = 3*a(n-1) k=3: a(n) = 5*a(n-1) -2*a(n-2) k=4: a(n) = 7*a(n-1) -4*a(n-2) k=5: a(n) = 14*a(n-1) -45*a(n-2) +15*a(n-3) +36*a(n-4) -19*a(n-5) +2*a(n-6) k=6: [order 9] k=7: [order 19] Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: a(n) = 2*a(n-1) +2*a(n-2) n=3: a(n) = 3*a(n-1) +4*a(n-2) -2*a(n-3) for n>4 n=4: a(n) = 3*a(n-1) +16*a(n-2) -3*a(n-3) -25*a(n-4) +2*a(n-5) +4*a(n-6) for n>7 n=5: [order 10] for n>11 n=6: [order 23] for n>24 n=7: [order 46] for n>47 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....1..0..0..1 ..0..0..1..2....0..0..1..2....1..0..1..0....1..0..1..0....1..0..0..1 ..1..0..1..2....0..0..1..0....1..0..1..2....0..0..1..2....0..0..0..0 ..0..0..1..2....0..0..0..0....0..0..1..0....1..0..1..2....1..0..1..0 CROSSREFS Column 1 is A000244 Column 2 is A008776 Column 3 is A206144(n-1) for n>2 Column 4 is A223373 Row 1 is A003945 Sequence in context: A065119 A293396 A173195 * A092421 A109657 A175589 Adjacent sequences:  A232917 A232918 A232919 * A232921 A232922 A232923 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 02 2013 STATUS approved

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