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A099910 Number of distinct prime-factors of ((prime(n)*(prime(n+1)-1)+(prime(n)-1)*prime(n+1))/2). 1
1, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 1, 3, 1, 2, 1, 2, 2, 2, 3, 2, 2, 4, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 4, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 4, 4, 2, 2, 2, 3, 2, 3, 1, 1, 3, 1, 4, 3, 1, 4, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 1, 1, 3, 1, 3, 3 (list; graph; refs; listen; history; internal format)
OFFSET

2,3

COMMENTS

a(n) = A001221(A099909(n)).

MATHEMATICA

dpf[{a_, b_}]:=PrimeNu[((a(b-1))+(a-1)b)/2]; dpf/@Partition[Prime[ Range[ 2, 110]], 2, 1] (* From Harvey P. Dale, Nov 16 2011 *)

CROSSREFS

Cf. A099911.

Sequence in context: A164995 A055718 A007302 * A043555 A118821 A118824

Adjacent sequences:  A099907 A099908 A099909 * A099911 A099912 A099913

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 29 2004

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Last modified February 13 22:36 EST 2012. Contains 205567 sequences.