A050324 Number of ordered factorizations indexed by prime signatures: A074206(A025487).

1, 1, 2, 3, 4, 8, 8, 20, 13, 16, 26, 48, 44, 32, 76, 112, 132, 64, 208, 176, 256, 75, 252, 368, 128, 544, 604, 576, 308, 768, 976, 256, 1376, 1888, 1280, 1076, 2208, 818, 2496, 512, 2316, 3392, 1460, 2568, 5536, 2816, 3408, 6080, 3172, 6208, 1024, 7968

Offset: 1

Author

Christian G. Bower, Oct 15 1999

Keywords

• nonn

Comments

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

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

Links

• David A. Corneth, Table of n, a(n) for n = 1..12651 (first 300 terms by R. J. Mathar)

Crossrefs

Cf. A025487, A034776, A074206, A163272.

Programs

Maple

A050324 := proc(n)
    A002033(A025487(n)-1) ;
end proc: # R. J. Mathar, May 25 2017
A050324 := A074206 @ A025487; # M. F. Hasler, Oct 12 2018

PARI

A050324(n)=A074206(A025487(n)) \\ M. F. Hasler, Oct 12 2018

Extensions

Edited to accommodate change in A025487's offset by Matthew Vandermast, Nov 27 2009