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A065036 Product of the cube of a prime (A030078) and a different prime. 38
24, 40, 54, 56, 88, 104, 135, 136, 152, 184, 189, 232, 248, 250, 296, 297, 328, 344, 351, 375, 376, 424, 459, 472, 488, 513, 536, 568, 584, 621, 632, 664, 686, 712, 776, 783, 808, 824, 837, 856, 872, 875, 904, 999, 1016, 1029, 1048, 1096, 1107, 1112 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This sequence appears on row 8 of the list illustrated in A064839 and is similar to A054753 which appears on row 6. Previous rows are generated by A000007, A000040, A001248, A006881, A030078 respectively.
Or, the numbers n such that 20=number of perfect partitions of n. - Juri-Stepan Gerasimov, Sep 26 2009
A089233(a(n)) = 3. - Reinhard Zumkeller, Sep 04 2013
LINKS
FORMULA
A002033(a(n)) = 20. - Juri-Stepan Gerasimov, Sep 26 2009
A000005(a(n)) = 8. - Altug Alkan, Nov 11 2015
EXAMPLE
a(4)= 56 since 56 = 2*2*2*7.
MATHEMATICA
Select[ Range[1500], Sort[ Transpose[ FactorInteger[ # ]] [[2]]] == {1, 3} & ]
Module[{upto=1200}, Select[(Union[Flatten[{#[[1]]^3 #[[2]], #[[1]]#[[2]]^3}&/@Subsets[Prime[Range[upto/8]], {2}]]]), #<=upto&]] (* Harvey P. Dale, May 23 2015 *)
PROG
(PARI) list(lim)=my(v=List(), t); forprime(p=2, (lim\2)^(1/3), t=p^3; forprime(q=2, lim\t, if(p==q, next); listput(v, t*q))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Jul 20 2011
(PARI) is(n)=my(f=factor(n)[, 2]); f==[3, 1]~||f==[1, 3]~ \\ Charles R Greathouse IV, Oct 15 2015
CROSSREFS
Sequence in context: A360793 A297401 A065127 * A329880 A303359 A340747
KEYWORD
easy,nonn
AUTHOR
Alford Arnold, Nov 04 2001
STATUS
approved

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Last modified April 26 12:36 EDT 2024. Contains 371997 sequences. (Running on oeis4.)