cp's OEIS Frontend

A097214 Numbers m such that A076078(m) = m, where A076078(m) equals the number of sets of distinct positive integers with a least common multiple of m.

%I A097214 #11 Feb 12 2020 02:33:25
%S A097214 1,2,4,8,10,16,32,44,64,128,184,256,512,752,1024,2048,4096,8192,12224,
%T A097214 16384,32768,49024,61064,65536,131072,262144,524288,981520,1048576,
%U A097214 2097152,4194304,8388608,12580864,16777216,33554432,67108864,134217728
%N A097214 Numbers m such that A076078(m) = m, where A076078(m) equals the number of sets of distinct positive integers with a least common multiple of m.
%C A097214 Contains all powers of 2 (A000079). Union of A000079 and A097215.
%C A097214 If 3*2^k - 1 is prime then 2^k*(3*2^k-1) is in the sequence. So 2^A002235*(3*2^A002235-1) is a subsequence of this sequence. - _Farideh Firoozbakht_, Aug 06 2005
%H A097214 Jinyuan Wang, <a href="/A097214/b097214.txt">Table of n, a(n) for n = 1..334</a>
%e A097214 A total of 10 sets of distinct positive integers have a least common multiple of 10: {1,2,5}, {1,2,5,10}, {1,2,10}, {1,5,10}, {1,10}, {2,5}, {2,5,10}, {2,10}, {5,10} and {10}. Hence 10 is in the sequence.
%Y A097214 Cf. A076078, A097215.
%Y A097214 Cf. A002235.
%K A097214 nonn
%O A097214 1,2
%A A097214 _Matthew Vandermast_, Aug 12 2004
%E A097214 a(26) corrected by _Jinyuan Wang_, Feb 11 2020