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%I #6 Nov 16 2014 16:13:29
%S 1,733,1637,2096,2367,4231,5674,5839,7585,8344,13719,13753,14983,
%T 15151,15197,15257,15757,16595,17305,18791,20701,21442,23652,23738,
%U 24519,24789,25474,25916,25933,27474,27487,29185,31455,32846,32950,33421
%N Numbers k such that Sum_{i=1..k} i^7 divides Product_{i=1..k} i^7.
%e a(2) = A125314(7) = 733.
%t With[{c=Range[40000]^7},Flatten[Position[#[[1]]/#[[2]]&/@Thread[ {Rest[ FoldList[ Times,1,c]],Accumulate[c]}],_?IntegerQ]]] (* _Harvey P. Dale_, Nov 16 2014 *)
%Y Cf. A123314, A166602, A060462, A166604, A166605, A166606, A166608, A166609, A166610.
%K nonn
%O 1,2
%A _Alexander Adamchuk_, Oct 18 2009
%E More terms from _Max Alekseyev_, Sep 30 2010