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A078314 Total number of prime factors of n*rad(n)+1, where rad=A007947 (squarefree kernel). 6
1, 1, 2, 2, 2, 1, 3, 1, 3, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 4, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 2, 1, 3, 2, 4, 3, 4, 2, 4, 2, 4, 2, 2, 3, 3, 3, 3, 2, 5, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 3, 2, 3, 2, 1, 4, 1, 2, 4, 3, 2, 2, 3, 3, 3, 4, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 1, 2, 1, 3, 1, 4, 3, 2, 2, 3, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(n)=A001222(A078310(n)).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

PROG

(PARI) a(n)=bigomega(n*vecprod(factor(n)[, 1])+1) \\ Charles R Greathouse IV, Jul 09 2013

(Haskell)

a078314 = a001222 . a078310  -- Reinhard Zumkeller, Jul 23 2013

CROSSREFS

Cf. A078313, A078315.

Sequence in context: A078720 A270488 A083898 * A068322 A230243 A078687

Adjacent sequences:  A078311 A078312 A078313 * A078315 A078316 A078317

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 23 2002

STATUS

approved

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Last modified June 18 07:06 EDT 2019. Contains 324203 sequences. (Running on oeis4.)