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A177085 Ceiling(n/3)-abundant numbers. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A194409 A115166 A050992

Adjacent sequences:  A177082 A177083 A177084 * A177086 A177087 A177088

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Dec 09 2010

STATUS

approved

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Last modified April 10 02:39 EDT 2020. Contains 333392 sequences. (Running on oeis4.)