

A050324


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


8



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(n1). 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: A080739 A242065 A056424 * A211227 A019949 A172002
Adjacent sequences: A050321 A050322 A050323 * A050325 A050326 A050327


KEYWORD

nonn


AUTHOR

Christian G. Bower, Oct 15 1999


EXTENSIONS

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


STATUS

approved



