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A271345 Integers n such that (n-1)! is divisible by n^3. 1


%S 1,12,18,20,24,27,28,30,32,35,36,40,42,44,45,48,49,50,52,54,55,56,60,

%T 63,64,65,66,68,70,72,75,76,77,78,80,81,84,85,88,90,91,92,95,96,98,99,

%U 100,102,104,105,108,110,112,114,115,116,117,119,120,121,124,125,126,128,130,132,133,135

%N Integers n such that (n-1)! is divisible by n^3.

%C Integers n such that A000142(n-1) is divisible by A000578(n).

%C Obviously, all terms are nonprime.

%C For n > 1, members of this sequence are short leg of more than one Pythagorean triangle.

%H Chai Wah Wu, <a href="/A271345/b271345.txt">Table of n, a(n) for n = 1..10000</a>

%e 12 is a term because 11! is divisible 12^3.

%o (PARI) lista(nn) = for(n=1, nn, if((n-1)! % (n^3) == 0, print1(n, ", ")));

%Y Cf. A000142, A000578, A009188, A264828.

%K nonn

%O 1,2

%A _Altug Alkan_, Apr 04 2016

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Last modified July 11 17:59 EDT 2020. Contains 335641 sequences. (Running on oeis4.)