%I A134803
%S A134803 3,8,119,288,4059,9800
%N A134803 Numbers n such that the sum of all numbers of the same parity <= n is 
               equal to the sum of numbers of the opposite parity from n+1 to n+m, 
               where m is odd and > 1.
%e A134803 3 -> 1+3 = 4 = 4
%e A134803 8 -> 2+4+6+8 = 20 = 9+11
%e A134803 119 -> 1+3+5+...+119 = 3600 = 120+122+...+168
%p A134803 P:=proc(n) local a,k,i,s1,s2; for i from 1 by 1 to n do if 2*trunc(i/
               2)=i then s1:=sum('2*k','k'=1..(i/2)); else s1:=sum('2*k-1','k'=1..(i+1)/
               2); fi; a:=1; s2:=i+1; while s1>s2 do a:=a+2; s2:=s2+i+a; od; if 
               s1=s2 then lprint(i,s1); fi; od; end: P(10000);
%Y A134803 Cf. A001109, A084068, A089895.
%Y A134803 Sequence in context: A066619 A028504 A123279 this_sequence A030063 A051047 
               A036504
%Y A134803 Adjacent sequences: A134800 A134801 A134802 this_sequence A134804 A134805 
               A134806
%K A134803 easy,nonn
%O A134803 1,1
%A A134803 Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jan 28 2008