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Search: id:A136743
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A136743 Number of prime factors in the n-th run of square-free numbers. +0
6
2, 4, 3, 5, 1, 1, 5, 2, 5, 6, 5, 5, 3, 2, 1, 2, 5, 3, 6, 6, 3, 6, 3, 6, 1, 2, 6, 1, 5, 6, 6, 6, 4, 4, 1, 6, 4, 5, 6, 4, 1, 1, 5, 5, 2, 1, 6, 3, 4, 5, 6, 7, 4, 6, 1, 1, 6, 4, 7, 6, 6, 6, 3, 7, 1, 2, 6, 1, 5, 2, 1, 7, 6, 3, 7, 1, 1, 5, 3, 5, 8, 5, 1, 2, 4, 6, 2, 1, 6, 3, 6, 7, 4, 7, 4, 1, 2, 2, 6, 1, 6, 6, 2, 6, 5 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) = A001221(A136742(n)) = A001222(A136742(n));

a(A136744(n)) = n and a(m) <> n for m < A136744(n).

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Squarefree

FORMULA

a(n) = SUM(A001221(A072284(n)+k): 0<=k<A120992(n)).

EXAMPLE

a(10)=A001221(A136742(10))=A001221(39270)=A001221(2*3*5*7*11*17)=6.

CROSSREFS

Cf. A005117.

Sequence in context: A050514 A133702 A080001 this_sequence A011387 A019656 A134017

Adjacent sequences: A136740 A136741 A136742 this_sequence A136744 A136745 A136746

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2008

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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