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 A210541 Number of arrays of n nonnegative integers with value i>0 appearing only after i-1 has appeared at least 4 times 4
 1, 1, 1, 1, 2, 4, 8, 16, 33, 73, 177, 467, 1309, 3813, 11409, 34999, 110510, 361194, 1226930, 4334048, 15877297, 60049447, 233426007, 929616461, 3786970033, 15777120457, 67260334185, 293617319221, 1312868943154, 6010792180952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Column 4 of A210545 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 Rigoberto Flórez, José L. Ramírez, Fabio A. Velandia, and Diego Villamizar, Some Connections Between Restricted Dyck Paths, Polyominoes, and Non-Crossing Partitions, arXiv:2308.02059 [math.CO], 2023. See Table 1 p. 13. FORMULA a(n) = 1 if n<=4 else sum{i=0..n-4}(binomial(n-4,i)*a(i)). Proved by R. J. Mathar in the Sequence Fans Mailing List. EXAMPLE Some solutions for n=13 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....1....1....0....1....1....1....0....1....1....0....0....1....0....0....1 ..1....1....1....1....1....0....1....0....1....1....1....1....0....1....1....1 ..0....1....0....0....1....0....1....0....0....0....0....1....0....0....1....0 ..0....1....1....1....1....1....0....1....1....1....1....0....1....1....1....1 ..1....2....1....0....0....1....1....1....1....1....0....0....1....1....1....0 ..1....0....2....1....2....1....0....0....2....0....0....0....0....1....0....0 ..0....1....1....1....2....2....1....1....1....0....0....1....0....2....2....1 ..1....0....2....0....1....2....1....1....0....1....0....1....1....0....1....1 ..2....0....1....2....1....0....2....2....2....0....0....1....2....0....2....0 CROSSREFS Sequence in context: A084636 A352044 A161869 * A275545 A273972 A275443 Adjacent sequences: A210538 A210539 A210540 * A210542 A210543 A210544 KEYWORD nonn AUTHOR R. H. Hardin, Mar 22 2012 STATUS approved

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Last modified August 14 13:32 EDT 2024. Contains 375165 sequences. (Running on oeis4.)