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Numbers representable in more than one way as x*y*(x+y), where x>=y>1.
0

%I #14 May 10 2021 07:39:21

%S 240,390,810,880,1008,1020,1680,1920,2100,2310,2970,3120,3360,3696,

%T 3750,4320,4914,5460,5670,6090,6270,6480,6630,7040,7380,7440,7770,

%U 8064,8160,8190,8448,8580,8976,9240,9520,10290,10530,10640,11340,11856,12474,13440,13776,14040

%N Numbers representable in more than one way as x*y*(x+y), where x>=y>1.

%e a(3) = 810 = 15*3*(15+3) = 9*6*(9+6).

%o (Python)

%o TOP = 100000

%o a = [0]*TOP

%o for y in range(2, TOP//2):

%o for x in range(y, TOP//2):

%o k = x*y*(x+y)

%o if k>=TOP: break

%o a[k]+=1

%o print([n for n in range(TOP) if a[n]>1])

%Y Cf. A255265, A081779.

%K nonn

%O 1,1

%A _Alex Ratushnyak_, Feb 19 2015