A147778 Positive integers of the form u*v*(u^2 - v^2) where u, v are coprime integers.

6, 24, 30, 60, 84, 120, 180, 210, 240, 330, 336, 504, 546, 630, 720, 840, 924, 990, 1224, 1320, 1386, 1560, 1710, 1716, 2016, 2184, 2310, 2340, 2520, 2574, 2730, 3036, 3360, 3570, 3696, 3900, 3960, 4080, 4290, 4620, 4896, 4914, 5016, 5280, 5544, 5610, 5814

Offset: 1

Author

Max Alekseyev, Nov 12 2008

Keywords

• nonn

Comments

Terms with even u or v form A024365. Squarefree terms form A147779.

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of: A003273, A009112, A073120.

Programs

Maple

N:= 10^5:
A:= {}:
for v from 1 to floor((N/2)^(1/3)) do
   for u from v+1 do
      if igcd(u,v) = 1 then
        t:= u*v*(u^2-v^2);
        if t > N then break fi;
        A:= A union {t};
      fi
    od
od:
A;
# if using Maple 11 or earlier, uncomment the next line
# sort(convert(A,list)); # Robert Israel, Apr 06 2015