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A072938
Highly composite numbers that are half of the next highly composite number.
12
1, 2, 6, 12, 60, 360, 2520
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OFFSET
1,2
COMMENTS
A002182
(k) such that
A002182
(k+1) = 2*
A002182
(k).
Numbers m such that d(m)>=d(k) for 0<k<2m {d(n) being the number of divisors function:
A000005
(n)}. -
Lekraj Beedassy
, Dec 16 2004
W. Brefeld (cf. link) gives a proof that there are no other terms. -
Klaus Brockhaus
, Mar 05 2006
LINKS
Table of n, a(n) for n=1..7.
Werner Brefeld,
Ramanujan, zusammengesetzte Zahlen und ihre Teilbarkeit
.
Achim Flammenkamp,
Highly Composite Numbers
.
EXAMPLE
6 =
A002182
(4) is a term since
A002182
(5) = 12 = 2*6.
CROSSREFS
Cf.
A002110
,
A002182
,
A002201
,
A003418
,
A094348
,
A106037
,
A165412
.
Sequence in context:
A335831
A189394
A182862
*
A160274
A048803
A068625
Adjacent sequences:
A072935
A072936
A072937
*
A072939
A072940
A072941
KEYWORD
nonn
,
fini
,
full
AUTHOR
Anonymous, Aug 12 2002
EXTENSIONS
Edited by
Klaus Brockhaus
, Aug 13 2002
STATUS
approved