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Least number k which can be written as k^2 * j, 0 < j <= k in n ways.
3

%I #6 Feb 05 2014 20:18:06

%S 2,1,64,900,5184,32400,57600,176400,705600,1166400,3240000,6350400,

%T 14288400,37454400,25401600,87609600

%N Least number k which can be written as k^2 * j, 0 < j <= k in n ways.

%t t = Sort[ Flatten[ Table[n = k^2*j; If[n < 10^7, n, {}], {k, 10000}, {j, k}]]]; l = Length[t]; t[[Select[ Range[l - 11], t[[ # ]] == t[[ # + 11]] &]]]

%Y Cf. A102354, A104020, A104022.

%K nonn

%O 0,1

%A _Leroy Quet_ and _Robert G. Wilson v_, Feb 23 2005