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Number of factorizations into distinct factors indexed by prime signatures: A045778(A025487).
3

%I #13 Oct 25 2024 09:36:05

%S 1,1,1,2,2,3,2,5,5,3,5,7,9,4,9,10,16,5,14,18,14,15,17,25,6,21,34,19,

%T 31,27,38,8,31,57,25,59,42,40,56,10,67,44,70,46,91,33,100,64,80,80,12,

%U 117,61,52,141,74,140,43,161,93,143,111,15,193,83,120,253,116,167,208

%N Number of factorizations into distinct factors indexed by prime signatures: A045778(A025487).

%H David A. Corneth, <a href="/A050323/b050323.txt">Table of n, a(n) for n = 1..1501</a> (first 299 terms from R. J. Mathar)

%e a(8) = 5 as A025487(8) = 24 and there are 5 ways to write 24 as a product of distinct divisors of 24 namely 24 = 2 * 12 = 3 * 8 = 4 * 6 = 2 * 3 * 4. - _David A. Corneth_, Oct 24 2024

%p A050323 := proc(n)

%p A045778(A025487(n)) ;

%p end proc: # _R. J. Mathar_, May 25 2017

%Y Cf. A025487, A045778.

%K nonn

%O 1,4

%A _Christian G. Bower_, Oct 15 1999