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 A253025 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order 9
 25, 37, 37, 51, 50, 51, 63, 83, 83, 63, 105, 91, 133, 91, 105, 153, 133, 120, 120, 133, 153, 189, 223, 219, 155, 219, 223, 189, 315, 243, 350, 230, 230, 350, 243, 315, 459, 357, 302, 296, 327, 296, 302, 357, 459, 567, 595, 531, 369, 537, 537, 369, 531, 595, 567, 945, 653 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..25..37..51..63..105..153..189..315..459..567..945.1377.1701..2835..4131..5103 ..37..50..83..91..133..223..243..357..595..653..959.1589.1761..2583..4253..4765 ..51..83.133.120..219..350..302..531..846..754.1323.2100.1888..3287..5198..4734 ..63..91.120.155..230..296..369..546..712..893.1322.1722.2155..3190..4158..5203 .105.133.219.230..327..537..554..753.1193.1250.1721.2747.2894..3987..6343..6694 .153.223.350.296..537..864..720.1256.1912.1592.2688.4096.3520..5968..9136..7904 .189.243.302.369..554..720..920.1312.1616.1976.2784.3472.4272..6096..7664..9464 .315.357.531.546..753.1256.1312.1832.2936.2976.3896.5984.6128..8128.12616.13056 .459.595.846.712.1193.1912.1616.2936.4672.3840.6544.9696.7904.13008.19264.16192 .567.653.754.893.1250.1592.1976.2976.3840.4880.6816.8192.9904.13536.16384.19888 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1624 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-3) for n>5 k=2: a(n) = 6*a(n-3) -10*a(n-6) +3*a(n-9) for n>11 k=3: a(n) = 5*a(n-3) -6*a(n-6) -a(n-9) +a(n-12) for n>15 k=4: a(n) = 3*a(n-3) -a(n-6) -a(n-9) for n>12 k=5: a(n) = 5*a(n-3) -6*a(n-6) -2*a(n-9) +2*a(n-12) +3*a(n-15) +a(n-18) for n>22 k=6: a(n) = 5*a(n-3) -7*a(n-6) +2*a(n-9) -2*a(n-12) +3*a(n-15) +a(n-18) +a(n-21) for n>27 k=7: a(n) = 3*a(n-3) -a(n-6) -a(n-9) -a(n-12) -a(n-15) for n>20 EXAMPLE Some solutions for n=4 k=4 ..0..1..2..0..1..3....0..1..2..0..3..2....0..0..0..0..0..0....0..0..0..0..0..0 ..0..0..0..0..0..0....2..2..2..2..2..2....1..2..0..1..3..0....1..0..2..1..0..2 ..0..2..1..0..2..1....1..0..2..1..0..2....2..1..0..3..1..0....3..0..1..2..0..1 ..0..1..2..0..1..2....0..1..2..0..1..2....0..0..0..0..0..0....0..0..0..0..0..0 ..0..0..0..0..0..0....2..2..2..2..2..2....1..3..0..1..2..0....1..0..3..1..0..2 ..0..2..1..0..2..3....3..0..2..1..0..2....3..1..0..2..1..0....3..0..1..3..0..1 CROSSREFS Sequence in context: A179803 A061863 A079270 * A127022 A253018 A120148 Adjacent sequences:  A253022 A253023 A253024 * A253026 A253027 A253028 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 26 2014 STATUS approved

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Last modified September 28 18:42 EDT 2021. Contains 347717 sequences. (Running on oeis4.)