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A063921 Quotients arising when A046755(n) is divided by the cube of the number of its divisors. +0
1
1, 5, 9, 1, 8, 1, 3, 343, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 16, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 16, 89, 97, 101, 103, 107, 109, 113, 6, 45, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 10, 211, 223, 227, 229, 64, 233, 239 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=A046755(n)/[A000005(A046755(n))^3]

EXAMPLE

Since (2^15)^p[n] is in A046755, so p[n] = n-th prime (except 2) appears here at least once. Several terms breaking this regularity come from entries of A046755 of other categories. E.g. x=(2^10)*p*(11^3), d[x]=88, d[x]^3=(2^9)*(11^3) divides x and the quotient os 2p (p not equal 11). Similar subsequence arising if 11 is replaced with other suitable prime.

CROSSREFS

A046755, A046754, A046756, A033950.

Sequence in context: A086201 A010490 A021173 this_sequence A021632 A011494 A030125

Adjacent sequences: A063918 A063919 A063920 this_sequence A063922 A063923 A063924

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 04 2001

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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