A182763 Numbers that set records for number of ordered factorizations as A025487(j)*A025487(k).

1, 2, 4, 8, 16, 24, 48, 96, 192, 384, 576, 768, 1152, 2304, 4608, 9216, 11520, 17280, 23040, 34560, 69120, 138240, 276480, 414720, 552960, 829440, 1105920, 1658880, 3317760, 6635520, 9953280, 13271040, 19906560, 26542080, 39813120, 53084160, 79626240

Offset

1,2

Comments

Subsequence of A025487: it includes A025487(n) iff A182762(n) > A182762(m) for all m < n.

Links

Amiram Eldar, Table of n, a(n) for n = 1..344

Amiram Eldar, Table of n, a(n) = A025487(i), i, A182762(i) = A182764(n) for n = 1..344

Example

24 has 6 factorizations into two members of A025487 (24 = 1*24 = 2*12 = 4*6 = 6*4 = 12*2 = 24*1). No smaller number has more than 5 such factorizations. Hence, 24 belongs to the sequence.

Crossrefs

Subsequence of A181818.

Cf. A025487, A181815, A182762, A182764.

Sequence in context: A089827 A369151 A222089 * A272709 A119311 A305183

Adjacent sequences: A182760 A182761 A182762 * A182764 A182765 A182766

Keyword

nonn

Author

Matthew Vandermast, Nov 30 2010

Extensions

More terms from Max Alekseyev, Jan 22 2012

Status

approved