

A077622


Number of numbers <= prime(n)# having n prime factors (with multiplicity), where prime(n)# = A002110(n) is the nth primorial.


3



1, 2, 7, 27, 190, 1621, 17271, 200536, 2757881, 47108763, 843069901, 17797435824
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OFFSET

1,2


COMMENTS

a(n) = A077618(A002110(n)), see A077621.


LINKS

Table of n, a(n) for n=1..12.


EXAMPLE

a(3)=7, as there are 7 numbers <= prime(3)# = 2*3*5 = 30 having 3 prime factors: 8=2*2*2, 12=2*2*3, 18=2*3*3, 20=2*2*5, 27=3*3*3, 28=2*2*7 and 30=2*3*5.


CROSSREFS

Cf. A001222.
Sequence in context: A058800 A293031 A255487 * A137108 A294128 A099815
Adjacent sequences: A077619 A077620 A077621 * A077623 A077624 A077625


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Nov 12 2002


EXTENSIONS

17271 from Sascha Kurz, Jan 04 2003
a(8)a(11) from Donovan Johnson, Nov 15 2009
a(12) from Donovan Johnson, Jul 16 2011


STATUS

approved



