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 A067540 Number of partitions of n in which the sum of reciprocal of parts divides number of parts. 2
 1, 2, 2, 3, 2, 4, 2, 5, 5, 7, 4, 8, 5, 7, 5, 10, 5, 16, 8, 20, 9, 20, 10, 25, 13, 30, 21, 34, 32, 46, 35, 58, 48, 66, 59, 97, 65, 109, 94, 125, 112, 154, 133, 191, 154, 224, 195, 265, 236, 308, 289, 388, 353, 475, 424, 575, 528, 693, 661, 835 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..147 (n = 1..80 from Sean A. Irvine) FORMULA a(n)=#{n=p_1+p_2+...+p_r : r/sum_{i=1..r} 1/p_i is an integer} where n=p_1+p_2+...+p_r runs over all partitions of n. - Sean A. Irvine, Mar 24 2013 a(n) <= A058360(n) <= A000041(n). - Charles R Greathouse IV, Dec 15 2020 CROSSREFS Cf. A000041. Sequence in context: A323888 A289435 A328396 * A218701 A305790 A294877 Adjacent sequences: A067537 A067538 A067539 * A067541 A067542 A067543 KEYWORD nonn AUTHOR Naohiro Nomoto, Jan 27 2002 EXTENSIONS More terms from Sean A. Irvine, Mar 24 2013 STATUS approved

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Last modified May 29 22:05 EDT 2023. Contains 363042 sequences. (Running on oeis4.)