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 A210542 Number of arrays of n nonnegative integers with value i>0 appearing only after i-1 has appeared at least 5 times 4
 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 65, 138, 315, 782, 2090, 5885, 17112, 50743, 152705, 466760, 1455562, 4658963, 15392116, 52663709, 186632887, 683133153, 2570929570, 9900731604, 38864321047, 155126476313, 629028834312, 2592051975917 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 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 <= 5; otherwise, Sum_{i=0..n-5} binomial(n-5,i)*a(i). Proved by R. J. Mathar in the Sequence Fans Mailing List. EXAMPLE Some solutions for n=15: ..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 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..0....1....0....0....1....1....0....1....0....1....1....1....0....1....1....1 ..0....0....0....0....0....0....1....1....1....0....1....0....0....1....1....0 ..1....1....0....1....1....1....1....1....0....1....1....1....1....1....1....0 ..0....0....1....0....1....0....1....0....0....1....0....0....1....1....1....1 ..1....0....1....1....0....1....1....1....1....1....0....0....0....1....1....0 ..0....0....1....1....0....1....1....1....1....1....0....0....1....1....1....1 ..0....1....0....0....1....1....1....2....1....0....1....0....1....2....0....1 ..0....0....0....0....0....2....1....0....1....1....1....1....1....2....1....0 ..0....1....1....1....0....2....1....1....0....0....0....1....1....0....0....0 ..0....0....1....1....0....0....1....0....1....1....0....0....2....2....0....1 CROSSREFS Column 5 of A210545. Sequence in context: A084637 A100137 A325917 * A141366 A049142 A367661 Adjacent sequences: A210539 A210540 A210541 * A210543 A210544 A210545 KEYWORD nonn AUTHOR R. H. Hardin, Mar 22 2012 STATUS approved

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Last modified September 10 09:32 EDT 2024. Contains 375786 sequences. (Running on oeis4.)