A177085 Ceiling(n/3)-abundant numbers.

6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 44, 48, 54, 56, 60, 64, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 110, 112, 114, 120, 126, 128, 132, 136, 138, 140, 144, 150, 152, 156, 160, 162, 168, 174, 176, 180, 186, 192, 196, 198, 200

Offset

1,1

Comments

For definition, see comment to A175522.

It appears most terms are even, but there exist odd terms: 945, 1155, 1575, etc. For n < 10^5 there are 211 odd terms of the sequence and 24628 even ones.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Prog

(Sage) is_A177085 = lambda n: sum(ceil(d/3) for d in divisors(n)) > 2*ceil(n/3) # D. S. McNeil, Dec 10 2010
(PARI) isok(n) = sumdiv(n, d, (d<n)*ceil(d/3)) > ceil(n/3); \\ Michel Marcus, Feb 08 2016

Crossrefs

Cf. A177084 (perfect version), A005100, A005101, A175524, A175526, A175811, A175821, A175837, A074206, A177052.

Sequence in context: A328537 A157941 A059611 * A338370 A194409 A115166

Adjacent sequences: A177082 A177083 A177084 * A177086 A177087 A177088

Keyword

nonn

Author

Vladimir Shevelev, Dec 09 2010

Status

approved