A174524 - OEIS

A174524

The total number of factors in unordered factorizations of A025487(n).

0, 1, 3, 3, 6, 8, 12, 17, 10, 20, 22, 34, 27, 35, 46, 61, 60, 54, 94, 75, 107, 37, 101, 123, 86, 170, 170, 176, 104, 207, 230, 128, 304, 356, 284, 242, 386, 217, 413, 192, 397, 506, 303, 434, 680, 442, 512, 698, 502, 703, 275, 847, 832, 151, 725, 818, 1244, 676, 993, 1190, 1079, 1162, 399, 1654, 1311, 446, 1572, 1501, 1207, 2158, 1007, 917, 1840, 1831, 1980, 2104, 1785, 1859, 1579, 556

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OFFSET

1,3

COMMENTS

A025487(n) has a certain number of unordered factorizations with between 1 and A001222(A025487(n)) factors.

a(n) counts these factors that are > 1. A025487(5) counts 8, 2*4, 2*2*2 with 1+2+3 = 6 = a(5) factors, for example.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10001

FORMULA

a(n) = A066637(A025487(n)). - R. J. Mathar, Oct 03 2010

EXAMPLE

The table of factorizations in A162247 begins: