%I A135653
%S A135653 1,10,100,1000,10000,11111,111110,1111100,11111000,111110000
%N A135653 Divisors of 496 (the 3rd perfect number), written in base 2.
%C A135653 The number of divisors of the third perfect number is equal to 2*A000043(3)=A061645(3)=10.
%F A135653 a(n)=A018487(n), written in base 2. Also, for n=1 .. 10: If n<=(A000043(3)=5) 
               then a(n) is the concatenation of the digit "1" and n-1 digits "0" 
               else a(n) is the concatenation of A000043(3)=5 digits "1" and (n-1-A000043(3)) 
               digits "0".
%e A135653 The structure of divisors of 496 (See A018487)
%e A135653 -------------------------------------------------------------------------
%e A135653 n ... Divisor . Formula ....... Divisor written in base 2 ...............
%e A135653 -------------------------------------------------------------------------
%e A135653 1)......... 1 = 2^0 ........... 1
%e A135653 2)......... 2 = 2^1 ........... 10
%e A135653 3)......... 4 = 2^2 ........... 100
%e A135653 4)......... 8 = 2^3 ........... 1000
%e A135653 5)........ 16 = 2^4 ........... 10000 ... (The 3rd superperfect number)
%e A135653 6)........ 31 = 2^5 - 2^0 ..... 11111 ... (The 3rd Mersenne prime)
%e A135653 7)........ 62 = 2^6 - 2^1 ..... 111110
%e A135653 8)....... 124 = 2^7 - 2^2 ..... 1111100
%e A135653 9)....... 248 = 2^8 - 2^3 ..... 11111000
%e A135653 10)...... 496 = 2^9 - 2^4 ..... 111110000 ... (The 3rd perfect number)
%Y A135653 For more information see A018487 (Divisors of 496). Cf. A000043, A000079, 
               A000396, A000668, A019279, A061645, A061652.
%Y A135653 Sequence in context: A136866 A136878 A136871 this_sequence A052211 A136845 
               A136837
%Y A135653 Adjacent sequences: A135650 A135651 A135652 this_sequence A135654 A135655 
               A135656
%K A135653 base,nonn,fini,full
%O A135653 1,2
%A A135653 Omar E. Pol (info(AT)polprimos.com), Feb 23 2008, Mar 03 2008