cp's OEIS Frontend

A244592 Numbers n such that n equals the partial or complete sum of the decimal digits of 1/n, up to the point at which the digits recur or terminate.

%I A244592 #5 Jul 13 2014 10:28:16
%S A244592 3,7,8,13,14,34,43,49,51,76,83,92,94,98,103,109,113,127,139,141,169,
%T A244592 177,179,181,194,218,229,283,323,338,367,394,397,401,437,524,526,537,
%U A244592 579,587,626,659,661,673,674,687,701,719,724,743,767,769,802,823,838
%N A244592 Numbers n such that n equals the partial or complete sum of the decimal digits of 1/n, up to the point at which the digits recur or terminate.
%C A244592 The digits summed are those before the decimal expansion recurs or terminates. Otherwise reciprocals that supply a recurrent 1, like 1/9 = 0.111... or 1/99 = 0.010101..., would always produce a sum equal to n from sufficient terms of the reciprocal.
%e A244592 1/3 = 0.3... and 3 = 0 + 3.
%e A244592 1/7 = 0.142857... and 7 = 1 + 4 + 2.
%e A244592 1/8 = 0.125 and 8 = 1 + 2 + 5.
%e A244592 1/13 = 0.0769230... and 13 = 7 + 6.
%e A244592 1/14 = 0.0714285... and 14 = 7 + 1 + 4 + 2.
%e A244592 1/34 = 0.02941176470588235... and 34 = 2 + 9 + 4 + 1 + 1 + 7 + 6 + 4.
%Y A244592 Cf. A048997.
%K A244592 nonn,base
%O A244592 1,1
%A A244592 _Anthony Sand_, Jul 01 2014