A369151 Numbers with a record high excess of even over odd divisors; so indices of record lows in A048272.

1, 2, 4, 8, 16, 24, 48, 96, 144, 192, 240, 480, 720, 960, 1440, 2880, 3360, 5040, 6720, 10080, 20160, 30240, 40320, 60480, 80640, 100800, 110880, 181440, 201600, 221760, 332640, 443520, 665280, 887040, 1108800, 1330560, 1995840, 2217600, 2661120, 2882880, 4324320, 5765760, 8648640, 11531520, 14414400

Offset

1,2

Comments

Every term is the product of primorials, i.e., this is a subsequence of A025487, i.e., no prime factor of any term has a lower exponent than the following prime has.

Links

Keith F. Lynch, Table of n, a(n) for n = 1..48

Formula

If n > 2, a(n) = 2*A181808(n-2) = 4*A002182(n-2).

Example

24 is a term because 24 has 6 even divisors, {2,4,6,8,12,24}, and 2 odd divisors, {1,3}, giving a difference of 4, more than that of any number less than 24.

Crossrefs

Cf. A048272.

Sequence in context: A138278 A326078 A089827 * A222089 A182763 A272709

Adjacent sequences: A369148 A369149 A369150 * A369152 A369153 A369154

Keyword

nonn

Author

Keith F. Lynch, Jan 14 2024

Status

approved