A050324 - OEIS

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

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OFFSET

1,3

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)

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

PROG

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

CROSSREFS

Cf. A025487, A034776, A074206, A163272.

Sequence in context: A361665 A242065 A056424 * A211227 A019949 A172002