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A067540 Number of partitions of n in which the sum of reciprocal of parts divides number of parts. 2

%I #21 Dec 26 2020 23:55:01

%S 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,

%T 46,35,58,48,66,59,97,65,109,94,125,112,154,133,191,154,224,195,265,

%U 236,308,289,388,353,475,424,575,528,693,661,835

%N Number of partitions of n in which the sum of reciprocal of parts divides number of parts.

%H Chai Wah Wu, <a href="/A067540/b067540.txt">Table of n, a(n) for n = 1..147</a> (n = 1..80 from Sean A. Irvine)

%F 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

%F a(n) <= A058360(n) <= A000041(n). - _Charles R Greathouse IV_, Dec 15 2020

%Y Cf. A000041.

%K nonn

%O 1,2

%A _Naohiro Nomoto_, Jan 27 2002

%E More terms from _Sean A. Irvine_, Mar 24 2013

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)