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 A252811 T(n,k)=Number of (n+2)X(k+2) 0..4 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
 61, 155, 155, 357, 259, 357, 752, 488, 488, 752, 1808, 369, 1337, 369, 1808, 4045, 702, 551, 551, 702, 4045, 8513, 2301, 2068, 742, 2068, 2301, 8513, 19432, 1864, 6961, 1625, 1625, 6961, 1864, 19432, 42308, 3971, 2891, 2795, 3186, 2795, 2891, 3971, 42308 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....61...155...357...752..1808...4045..8513..19432..42308..88615.195983..419484 ...155...259...488...369...702...2301..1864...3971..13398..11033..23486...78603 ...357...488..1337...551..2068...6961..2891..10687..35835..15328..56023..186554 ...752...369...551...742..1625...2795..3763...8275..14320..19355..42636...73806 ..1808...702..2068..1625..3186...9869..7897..15217..46089..37348..72215..218508 ..4045..2301..6961..2795..9869..30949.13010..45797.138103..59021.201153..603059 ..8513..1864..2891..3763..7897..13010.17895..36732..58811..78891.160955..259629 .19432..3971.10687..8275.15217..45797.36732..69935.206185.164273.299025..854263 .42308.13398.35835.14320.46089.138103.58811.206185.626266.265685.899078.2570383 .88615.11033.15328.19355.37348..59021.78891.164273.265685.365400.722799.1111091 LINKS R. H. Hardin, Table of n, a(n) for n = 1..480 FORMULA Empirical for column k: k=1: [linear recurrence of order 12] for n>14 k=2: [order 10] for n>16 k=3: [order 16] for n>19 k=4: a(n) = 6*a(n-3) -4*a(n-6) -2*a(n-9) +a(n-12) for n>15 k=5: [order 30] for n>34 k=6: [order 40] for n>46 k=7: [order 34] for n>39 EXAMPLE Some solutions for n=2 k=4 ..0..1..2..0..3..4....0..1..2..0..1..2....0..1..2..0..3..2....0..1..2..0..3..2 ..0..2..1..0..4..1....1..1..1..1..1..1....2..2..2..2..2..2....3..0..2..3..0..2 ..0..0..0..0..0..0....2..1..0..2..1..0....3..0..2..1..4..2....2..2..2..2..2..2 ..0..1..4..0..1..3....3..1..2..0..1..3....0..3..2..4..1..2....4..3..2..0..1..2 CROSSREFS Sequence in context: A305172 A316760 A211333 * A252804 A257746 A062661 Adjacent sequences: A252808 A252809 A252810 * A252812 A252813 A252814 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 22 2014 STATUS approved

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Last modified October 1 17:30 EDT 2023. Contains 365828 sequences. (Running on oeis4.)