%I A134170
%S A134170 1,2,3,4,10,12,21,24,36,40,60,60,84,84,112,112,144,144,180,180
%N A134170 a(n)=the smallest natural number which, expressed in the form d*q+r for 
               all d ranging from 1 to n, q>=r. In other words, when a(n) is divided 
               by the numbers from 1 to n, the remainder is never more than the 
               quotient.
%C A134170 If a prospective term is at least d(d-1) for a certain value of d, all 
               d less than or equal to that value are certain to be satisfied. For 
               k>5, it seems a(2k-1)=a(2k)=2k(k-1).
%e A134170 a(7)=21 because division by d=1 to 7 gives 21 r0, 10 r1, 7 r0, 5 r1, 
               4 r1, 3 r3 and 3 r0, respectively.
%Y A134170 Sequence in context: A051627 A023725 A076079 this_sequence A049548 A005456 
               A100773
%Y A134170 Adjacent sequences: A134167 A134168 A134169 this_sequence A134171 A134172 
               A134173
%K A134170 easy,nonn
%O A134170 1,2
%A A134170 Bryce Herdt (mathidentity(AT)yahoo.com), Jan 12 2008