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Number of ordered factorizations indexed by prime signatures: A074206(A025487).
9

%I #26 Oct 12 2018 22:42:04

%S 1,1,2,3,4,8,8,20,13,16,26,48,44,32,76,112,132,64,208,176,256,75,252,

%T 368,128,544,604,576,308,768,976,256,1376,1888,1280,1076,2208,818,

%U 2496,512,2316,3392,1460,2568,5536,2816,3408,6080,3172,6208,1024,7968

%N Number of ordered factorizations indexed by prime signatures: A074206(A025487).

%C This sequence can help to find terms for A163272, as has been done by Giovanni Resta. A074206(n) is computed only from the prime signature of n. If A074206(k) has the same prime signature as k then A074206(k) is in A163272. - _David A. Corneth_, Jul 16 2018

%C The number of ordered prime factorizations of n is A074206(n), not really A002033(n) = A074206(n-1). This has induced confusion in A002033 so it might be worth mentioning the distinction to be made. - _M. F. Hasler_, Oct 12 2018

%H David A. Corneth, <a href="/A050324/b050324.txt">Table of n, a(n) for n = 1..12651</a> (first 300 terms by R. J. Mathar)

%p A050324 := proc(n)

%p A002033(A025487(n)-1) ;

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

%p A050324 := A074206 @ A025487; # _M. F. Hasler_, Oct 12 2018

%o (PARI) A050324(n)=A074206(A025487(n)) \\ _M. F. Hasler_, Oct 12 2018

%Y Cf. A025487, A034776, A074206, A163272.

%K nonn

%O 1,3

%A _Christian G. Bower_, Oct 15 1999

%E Edited to accommodate change in A025487's offset by _Matthew Vandermast_, Nov 27 2009