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 A268264 Number of length-(5+1) 0..n arrays with new repeated values introduced in sequential order starting with zero. 1
 33, 273, 1616, 6877, 22710, 62249, 148468, 318261, 627242, 1155265, 2012664, 3347213, 5351806, 8272857, 12419420, 18173029, 25998258, 36454001, 50205472, 68036925, 90865094, 119753353, 155926596, 200786837, 255929530, 323160609 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = n^6 + n^5 + 5*n^4 + 4*n^3 + 12*n^2 + 6*n + 5 for n>1. Conjectures from Colin Barker, Jan 13 2019: (Start) G.f.: x*(33 + 42*x + 398*x^2 + 143*x^3 + 107*x^4 - 2*x^5 - 2*x^6 + x^7) / (1 - x)^7. a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>8. (End) EXAMPLE Some solutions for n=7: ..6....0....4....7....2....6....4....6....5....0....7....0....5....7....1....3 ..3....6....1....2....4....0....6....1....0....2....0....0....2....3....2....2 ..2....7....7....3....6....3....7....0....0....7....7....2....4....6....3....5 ..6....0....0....6....3....0....2....4....6....5....6....1....3....3....5....7 ..0....0....5....2....2....4....5....5....1....4....4....0....4....7....3....6 ..3....4....6....0....0....1....7....1....3....5....0....4....2....2....2....3 CROSSREFS Row 5 of A268261. Sequence in context: A061223 A119782 A252978 * A008515 A179995 A000539 Adjacent sequences: A268261 A268262 A268263 * A268265 A268266 A268267 KEYWORD nonn AUTHOR R. H. Hardin, Jan 29 2016 STATUS approved

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Last modified November 27 06:50 EST 2022. Contains 358362 sequences. (Running on oeis4.)