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 A268003 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order. 6
 1, 2, 2, 5, 14, 4, 14, 187, 122, 7, 45, 3552, 11051, 938, 12, 163, 93311, 1880990, 605969, 6734, 20, 657, 3201247, 555258347, 982227549, 30785259, 45938, 33, 2910, 137687080, 256785961187, 3511764501993, 477324637497, 1470330667, 302402, 54 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1.......2...........5..............14................45...............163 ..2......14.........187............3552.............93311...........3201247 ..4.....122.......11051.........1880990.........555258347......256785961187 ..7.....938......605969.......982227549.....3511764501993.23932385578547037 .12....6734....30785259....477324637497.20888913167378133 .20...45938..1470330667.217487430054270 .33..302402.67008101445 .54.1939154 .88 LINKS R. H. Hardin, Table of n, a(n) for n = 1..45 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-3) k=2: a(n) = 14*a(n-1) -60*a(n-2) +50*a(n-3) +145*a(n-4) -80*a(n-5) -84*a(n-6) +16*a(n-7) k=3: [order 20] EXAMPLE Some solutions for n=3 k=4 ..0..0..1..2....0..0..0..0....0..0..0..1....0..0..0..1....0..0..1..2 ..1..0..3..2....1..0..2..0....0..0..0..2....0..1..2..1....0..3..0..1 ..4..4..3..4....3..4..3..1....3..4..2..0....3..2..2..3....2..3..2..0 CROSSREFS Column 1 is A000071(n+2). Column 2 is A267906. Sequence in context: A032290 A032201 A268180 * A208434 A336110 A275352 Adjacent sequences: A268000 A268001 A268002 * A268004 A268005 A268006 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 24 2016 STATUS approved

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Last modified December 7 23:30 EST 2023. Contains 367662 sequences. (Running on oeis4.)