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 A184834 a(n) = A184833(n)/A184832(n) unless A184832(n) = 0 in which case a(n) = 0. 3
 0, 0, 0, 2, 1, 1, 3, 3, 6, 1, 1, 5, 1, 10, 7, 5, 1, 14, 1, 1, 16, 11, 11, 18, 1, 1, 20, 1, 10, 15, 1, 7, 17, 1, 28, 19, 19, 30, 1, 32, 13, 13, 34, 23, 23, 36, 1, 38, 11, 19, 27, 27, 42, 17, 17, 29, 1, 46, 31, 31, 3, 50, 1, 1, 52, 35, 35, 54, 1, 1, 56, 1, 28, 39 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS a(n) is the "level" of squarefree numbers. The decomposition of squarefree numbers into weight * level + gap is A005117(n) = A184832(n) * a(n) + A076259(n) if a(n) > 0. A184833(n) = A005117(n) - A076259(n) if A005117(n) - A076259(n) > A076259(n), 0 otherwise. LINKS Rémi Eismann, Table of n, a(n) for n = 1..10000 EXAMPLE For n = 1 we have A184832(1) = 0, hence a(1) = 0. For n = 4 we have A184833(4)/A184832(4)= 4 / 2 = 1; hence a(4) = 2. For n = 23 we have A184833(23)/A184832(23)= 33 / 3 = 11; hence a(23) = 11. CROSSREFS Cf. A005117, A076259, A184832, A184833, A117078, A117563, A001223, A118534. Sequence in context: A104554 A293304 A152414 * A276777 A219876 A216655 Adjacent sequences: A184831 A184832 A184833 * A184835 A184836 A184837 KEYWORD nonn AUTHOR Rémi Eismann, Jan 23 2011 STATUS approved

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Last modified September 23 07:35 EDT 2023. Contains 365544 sequences. (Running on oeis4.)