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A381620 a(n) is the number of solutions to the problem described in A381619 with smallest price equal to n.

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%I A381620 #6 Mar 12 2025 11:02:30
%S A381620 50,50,12,30,25,26,8,30,9,25,5,15,2,4,13,5,2,8,3,30,3,3,1,8,25,4,1,4,
%T A381620 2,12,0,10,2,1,5,5,0,1,0,15,2,4,1,3,8,2,1,2,0,15,1,2,0,1,2,2,0,1,1,15,
%U A381620 1,0,2,0,3,3,1,2,2,5,1,6,1,2,9,3,1,0,0,5,1,4
%N A381620 a(n) is the number of solutions to the problem described in A381619 with smallest price equal to n.
%H A381620 Hugo Pfoertner, <a href="/A381620/b381620.txt">Table of n, a(n) for n = 1..150</a>
%H A381620 Hugo Pfoertner, <a href="/A381619/a381619_1.txt">Solution triples sorted by smallest price</a>. (2025)
%e A381620 a(13) = 2 because there are 2 triples {x,y,z} satisfying 100^2*(x+y+z)=x*y*z with x=13:
%e A381620   {13, 770, 783000} and {13, 800, 20325};
%e A381620 a(23) = 1: {23, 435, 416000} is the only triple with smallest term 23: 10000*(23+435+916000) = 23*435*916000 = 9164580000 = 10000*A381619(578).
%Y A381620 Cf. A380887, A381187, A381619.
%K A381620 nonn,fini,full
%O A381620 1,1
%A A381620 _Hugo Pfoertner_, Mar 12 2025