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 A339627 Number of partitions of n into distinct parts such that the sum of reciprocals of parts is an integer. 2
 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 3, 2, 4, 5, 4, 7, 4, 2, 2, 6, 6, 1, 3, 3, 4, 3, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,32 COMMENTS Also the number of ways to express an integer as the sum of distinct unit fractions such that the sum of the denominators is n. LINKS EXAMPLE a(31) = 2 because we have 2 + 4 + 5 + 20 = 1 + 2 + 3 + 10 + 15 = 31 and 1/2 + 1/4 + 1/5 + 1/20 = 1, 1/1 + 1/2 + 1/3 + 1/10 + 1/15 = 2 are integers. CROSSREFS Cf. A051907, A051908, A058360, A339628, A339629. Sequence in context: A143535 A301366 A250100 * A016270 A219493 A284092 Adjacent sequences:  A339624 A339625 A339626 * A339628 A339629 A339630 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 10 2020 STATUS approved

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Last modified May 7 00:22 EDT 2021. Contains 343609 sequences. (Running on oeis4.)