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

1,1

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

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

Crossrefs

Subsequence of: A003273, A009112, A073120.

Sequence in context: A350564 A132398 A073120 * A348714 A209452 A275302

Adjacent sequences: A147775 A147776 A147777 * A147779 A147780 A147781

Keyword

nonn

Author

Max Alekseyev, Nov 12 2008

Status

approved