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 A268049 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row unequal to, and in every column equal to, the previous repeated value, and new values introduced in row-major sequential order. 4
 1, 2, 2, 4, 14, 4, 12, 159, 122, 7, 40, 3183, 9054, 938, 12, 154, 88243, 1650058, 467899, 6734, 20, 656, 3222467, 525124941, 829256141, 22309009, 45938, 33, 3074, 147078491, 262999737747, 3273871468927, 386602239495, 999810316, 302402, 54 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1.......2...........4..............12................40...............154 ..2......14.........159............3183.............88243...........3222467 ..4.....122........9054.........1650058.........525124941......262999737747 ..7.....938......467899.......829256141.....3273871468927.24754240745963975 .12....6734....22309009....386602239495.19146833412153174 .20...45938...999810316.168939588471080 .33..302402.42764566838 .54.1939154 .88 LINKS R. H. Hardin, Table of n, a(n) for n = 1..48 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 78] EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0 ..0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0 ..2..0..0..1....2..1..0..3....1..0..0..1....1..1..0..2....2..0..0..3 ..3..0..0..2....4..0..0..4....0..2..0..3....0..1..0..3....4..4..0..1 ..4..2..4..1....3..2..0..1....0..2..0..1....3..4..0..2....1..1..3..0 CROSSREFS Column 1 is A000071(n+2). Column 2 is A267906. Row 1 is A268010. Row 2 is A268011. Sequence in context: A204978 A204705 A206650 * A267911 A120654 A121514 Adjacent sequences: A268046 A268047 A268048 * A268050 A268051 A268052 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 25 2016 STATUS approved

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Last modified May 31 19:41 EDT 2023. Contains 363068 sequences. (Running on oeis4.)