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.

1, 2, 4, 8, 10, 16, 32, 44, 64, 128, 184, 256, 512, 752, 1024, 2048, 4096, 8192, 12224, 16384, 32768, 49024, 61064, 65536, 131072, 262144, 524288, 981520, 1048576, 2097152, 4194304, 8388608, 12580864, 16777216, 33554432, 67108864, 134217728

Offset

1,2

Comments

Contains all powers of 2 (A000079). Union of A000079 and A097215.

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

Links

Jinyuan Wang, Table of n, a(n) for n = 1..334

Example

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.

Crossrefs

Cf. A076078, A097215.

Cf. A002235.

Sequence in context: A353696 A271816 A097210 * A045579 A177050 A276772

Adjacent sequences: A097211 A097212 A097213 * A097215 A097216 A097217

Keyword

nonn

Author

Matthew Vandermast, Aug 12 2004

Extensions

a(26) corrected by Jinyuan Wang, Feb 11 2020

Status

approved