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A227314 Number of prime factors, with multiplicity, of sum of first n composite numbers. 1
2, 2, 3, 3, 1, 2, 3, 3, 2, 5, 4, 3, 3, 1, 6, 4, 1, 2, 2, 1, 6, 3, 2, 2, 2, 3, 2, 4, 4, 2, 2, 3, 8, 3, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 3, 2, 1, 1, 3, 3, 4, 2, 1, 1, 3, 7, 7, 3, 2, 4, 4, 2, 1, 1, 2, 4, 2, 1, 3, 4, 4, 3, 1, 1, 1, 2, 5, 2, 3, 6, 2, 2, 3, 6, 5, 1, 5, 3, 2, 3, 2, 6, 7, 2, 2, 2, 6, 3, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..100.

FORMULA

a(n) = A001222(A053767(n)).

EXAMPLE

a(10) = 5 because A053767(10) = 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 112 = 2^4 * 7, which has 5 prime factors, with multiplicity.

MAPLE

A227314 := proc(n)

    A001222(A053767(n)) ;

end proc: # R. J. Mathar, Jul 06 2013

CROSSREFS

Cf. A001222, A002808, A053767.

Sequence in context: A135695 A105899 A071434 * A128924 A239957 A230040

Adjacent sequences:  A227311 A227312 A227313 * A227315 A227316 A227317

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Jul 06 2013

STATUS

approved

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Last modified April 12 17:48 EDT 2021. Contains 342929 sequences. (Running on oeis4.)