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A034973 Number of prime factors in central binomial coefficients C(n,[ n/2 ]), the terms of A001405. +0
11
0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 13, 13, 12, 12, 12, 12, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 14, 14, 15, 15, 15, 15, 16 (list; graph; listen)
OFFSET

1,4

COMMENT

Sequence is not monotonic. E.g. a(44)=10,a(45)=9 and a(46)=10. The number of prime factors of n! is pi(n), but these numbers are lower.

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

EXAMPLE

a(25)=a(C(25,12))=a(520030)=6 because actual prime factors are 2,5,7,17,19,23.

CROSSREFS

Cf. A001405, A034974.

Cf. A067434

Sequence in context: A053693 A068063 A087181 this_sequence A066927 A060065 A057356

Adjacent sequences: A034970 A034971 A034972 this_sequence A034974 A034975 A034976

KEYWORD

nonn,easy,nice

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.


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