A050323 - OEIS

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A050323

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

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, 31, 27, 38, 8, 31, 57, 25, 59, 42, 40, 56, 10, 67, 44, 70, 46, 91, 33, 100, 64, 80, 80, 12, 117, 61, 52, 141, 74, 140, 43, 161, 93, 143, 111, 15, 193, 83, 120, 253, 116, 167, 208

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

LINKS

David A. Corneth, Table of n, a(n) for n = 1..1501 (first 299 terms from R. J. Mathar)

EXAMPLE

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

MAPLE

A050323 := proc(n)

A045778(A025487(n)) ;

end proc: # R. J. Mathar, May 25 2017

CROSSREFS

Cf. A025487, A045778.

Sequence in context: A218699 A090794 A254858 * A318286 A214646 A340693

Adjacent sequences: A050320 A050321 A050322 * A050324 A050325 A050326

KEYWORD

nonn

AUTHOR

Christian G. Bower, Oct 15 1999

STATUS

approved