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 A184221 a(n) = A184220(n)/A133150(n) unless A133150(n) = 0 in which case a(n) = 0. 3
 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 7, 7, 1, 2, 1, 2, 1, 7, 7, 2, 1, 2, 1, 2, 7, 14, 1, 2, 1, 2, 1, 14, 7, 17, 1, 2, 1, 2, 17, 14, 1, 2, 1, 2, 23, 14, 7, 2, 1, 2, 17, 2, 7, 14, 1, 17, 1, 23, 1, 14, 7, 2, 1, 31, 1, 2, 7, 34, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS a(n) is the "level" of squares (A000290). The decomposition of squares into weight * level + gap is A000217(n) = A133150(n) * a(n) + A005408(n) if a(n) > 0. A184220(n) = A000290(n) - A005408(n) if A000217(n) - A005408(n) > A005408(n), 0 otherwise. LINKS Rémi Eismann, Table of n, a(n) for n = 1..10000 EXAMPLE For n = 3 we have A133150(3) = 0, hence a(3) = 0. For n = 5 we have A184220(5)/A133150(5) = 14 / 14 = 1, hence a(5) = 1. For n = 25 we have A184220(25)/A133150(25) = 574 / 82 = 5, hence a(25) = 7. CROSSREFS Cf. A000290, A005408, A133150, A184220, A118534, A117078, A117563, A001223. Sequence in context: A161277 A160981 A058656 * A373531 A226898 A338653 Adjacent sequences: A184218 A184219 A184220 * A184222 A184223 A184224 KEYWORD nonn AUTHOR Rémi Eismann, Jan 10 2011 STATUS approved

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Last modified June 24 11:41 EDT 2024. Contains 373677 sequences. (Running on oeis4.)