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 A252961 T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order 16
 60, 119, 140, 223, 120, 297, 603, 155, 185, 711, 1251, 249, 259, 337, 1543, 3465, 385, 369, 443, 596, 3461, 7495, 651, 605, 674, 871, 1186, 7637, 20977, 1069, 985, 1027, 1242, 1681, 2279, 16689, 46641, 1757, 1429, 1551, 1747, 2201, 2999, 4165, 35609 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....60...119...223...603..1251..3465..7495..20977..46641.130201.295421.819671 ...140...120...155...249...385...651..1069...1757...2949...5045...8293..14403 ...297...185...259...369...605...985..1429...2421...3907...6027...9989..16623 ...711...337...443...674..1027..1551..2349...3759...5739...9054..14527..22950 ..1543...596...871..1242..1747..2822..4019...6133...9681..14784..22631..37118 ..3461..1186..1681..2201..3315..5100..6855..10888..16745..24270..38635..61564 ..7637..2279..2999..4275..6091..8767.12573..19192..27929..42791..65583.101848 .16689..4165..6103..8202.11027.16909.23471..33929..52191..76861.115015.182359 .35609..8552.11983.15026.21661.32096.42337..64393..96273.137384.210821.330363 .78429.16744.21749.29799.41149.57282.81323.118916.171809.254784.384825.580538 LINKS R. H. Hardin, Table of n, a(n) for n = 1..231 FORMULA Empirical for column k: k=1: [linear recurrence of order 12] for n>15 k=2: [order 12] for n>14 k=3: [order 8] for n>10 k=4: [order 15] for n>17 k=5: [order 14] for n>16 k=6: [order 12] for n>15 k=7: [order 22] for n>25 Empirical for row n: n=1: [linear recurrence of order 14] for n>16 n=2: [order 9] for n>12 n=3: [order 13] for n>15 n=4: [order 14] for n>16 n=5: [order 17] for n>19 n=6: [order 19] for n>21 n=7: [order 23] for n>25 EXAMPLE Some solutions for n=2 k=4 ..0..1..1..2..2..3....0..1..1..2..2..3....0..1..1..2..2..3....0..1..0..0..1..0 ..3..0..0..1..1..4....2..2..3..3..0..0....4..4..3..3..0..0....2..2..0..2..2..0 ..4..3..3..0..0..2....3..0..0..1..1..2....2..0..0..1..1..2....1..0..0..1..0..0 ..1..2..2..3..3..0....4..4..2..2..3..3....1..1..4..4..3..3....0..1..0..0..1..0 CROSSREFS Sequence in context: A182683 A174601 A306908 * A252962 A296767 A336442 Adjacent sequences:  A252958 A252959 A252960 * A252962 A252963 A252964 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 25 2014 STATUS approved

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Last modified November 29 20:40 EST 2021. Contains 349416 sequences. (Running on oeis4.)