A227314 Number of prime factors, with multiplicity, of sum of first n composite numbers.

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

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: A105899 A071434 A366549 * A356321 A128924 A364569

Adjacent sequences: A227311 A227312 A227313 * A227315 A227316 A227317

Keyword

nonn,easy

Author

Jonathan Vos Post, Jul 06 2013

Status

approved