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 A268327 T(n,k)=Number of length-(n+1) 0..k arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero. 8
 2, 2, 3, 2, 4, 6, 2, 4, 10, 11, 2, 4, 11, 25, 22, 2, 4, 11, 32, 66, 43, 2, 4, 11, 33, 102, 177, 86, 2, 4, 11, 33, 113, 337, 485, 171, 2, 4, 11, 33, 114, 418, 1148, 1348, 342, 2, 4, 11, 33, 114, 434, 1644, 3984, 3797, 683, 2, 4, 11, 33, 114, 435, 1806, 6729, 14030, 10812, 1366, 2, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2.....2.....2......2......2......2......2......2......2......2......2......2 ...3.....4.....4......4......4......4......4......4......4......4......4......4 ...6....10....11.....11.....11.....11.....11.....11.....11.....11.....11.....11 ..11....25....32.....33.....33.....33.....33.....33.....33.....33.....33.....33 ..22....66...102....113....114....114....114....114....114....114....114....114 ..43...177...337....418....434....435....435....435....435....435....435....435 ..86...485..1148...1644...1806...1828...1829...1829...1829...1829...1829...1829 .171..1348..3984...6729...8052...8347...8376...8377...8377...8377...8377...8377 .342..3797.14030..28306..37851..40967..41466..41503..41504..41504..41504..41504 .683.10812.49973.121290.184910.213476.220115.220911.220957.220958.220958.220958 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) k=2: a(n) = 7*a(n-1) -14*a(n-2) +21*a(n-4) -7*a(n-5) -6*a(n-6) k=3: [order 12] k=4: [order 19] k=5: [order 29] k=6: [order 40] k=7: [order 54] EXAMPLE Some solutions for n=9 k=4 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....0....1....1....0....1....1....1....0....1....0....1....1....1....1....0 ..2....1....0....2....0....2....2....2....1....2....0....2....2....2....2....1 ..0....1....0....0....0....0....3....1....1....3....1....3....3....0....0....1 ..2....2....2....0....1....2....0....2....2....1....0....0....1....3....3....2 ..0....2....0....1....2....3....1....3....3....3....2....4....2....2....0....2 ..1....3....3....3....3....1....0....0....4....2....1....3....4....0....0....0 ..0....1....0....1....1....0....0....1....1....0....0....1....2....2....0....3 ..1....1....1....0....2....1....0....3....4....1....1....4....3....4....1....1 ..2....0....2....3....3....2....2....4....3....2....1....2....0....2....0....4 CROSSREFS Column 1 is A005578(n+1). Sequence in context: A305811 A239471 A241509 * A053023 A153725 A102247 Adjacent sequences:  A268324 A268325 A268326 * A268328 A268329 A268330 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 01 2016 STATUS approved

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Last modified October 20 02:54 EDT 2019. Contains 328244 sequences. (Running on oeis4.)