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 A266012 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. 12
 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 4, 6, 1, 1, 2, 4, 4, 14, 1, 1, 1, 1, 11, 9, 22, 2, 1, 1, 4, 18, 27, 14, 46, 1, 1, 2, 4, 27, 61, 70, 21, 102, 1, 1, 1, 1, 43, 75, 154, 182, 44, 190, 2, 1, 1, 4, 62, 281, 486, 473, 483, 52, 374, 1, 1, 2, 4, 112, 697, 1602, 2208, 1561, 1281, 129, 782, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .1.1...2...1....1.....2.......1........1........2........1..........1 .1.1...2...4....4.....1.......4........4........1........4..........4 .1.2...6...4...11....18......27.......43.......62......112........191 .1.1..14...9...27....61......75......281......697.....1182.......3379 .1.1..22..14...70...154.....486.....1602.....5777....10188......28506 .1.2..46..21..182...473....2208....10811....27582....48585.....208339 .1.1.102..44..483..1561...10708....62684...145344...253394....1663567 .1.1.190..52.1281..4909...53384...348557...850986..1738887...15011717 .1.2.374.129.3389.15560..255936..2118339..4845667.10779958..123629847 .1.1.782.138.8986.49716.1264666.12427613.27769481.64933909.1062244523 LINKS R. H. Hardin, Table of n, a(n) for n = 1..311 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-3) k=3: a(n) = a(n-1) +4*a(n-3) k=4: a(n) = -a(n-1) +3*a(n-2) +3*a(n-3) -a(n-4) k=5: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) +2*a(n-4) -3*a(n-5) -a(n-6) for n>12 k=6: [order 19] for n>21 k=7: [order 24] for n>28 Empirical for row n: n=1: a(n) = a(n-3) n=2: a(n) = a(n-3) for n>6 n=3: [order 15] for n>19 n=4: [order 44] for n>53 EXAMPLE Some solutions for n=4 k=4 ..0..1..2..2....1..1..2..2....0..2..2..1....0..2..2..0....1..1..2..2 ..1..2..2..0....0..2..2..0....2..2..1..0....2..2..1..0....0..2..2..0 ..0..1..2..2....0..1..2..2....0..2..2..1....0..1..2..2....1..1..2..2 ..1..2..2..0....1..2..2..0....2..2..1..0....0..2..2..0....0..2..2..0 CROSSREFS Row 2 is A173259(n+6). Sequence in context: A025864 A070242 A242748 * A202111 A187759 A270645 Adjacent sequences:  A266009 A266010 A266011 * A266013 A266014 A266015 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2015 STATUS approved

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Last modified September 22 12:00 EDT 2021. Contains 347607 sequences. (Running on oeis4.)