login
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
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: A289435 A328396 A373983 * A218701 A305790 A294877
KEYWORD
nonn
AUTHOR
Naohiro Nomoto, Jan 27 2002
EXTENSIONS
More terms from Sean A. Irvine, Mar 24 2013
STATUS
approved