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In binary representation: number of substrings of n^2 having the same number of 0's and 1's as n.
0

%I #4 Mar 30 2012 18:50:26

%S 1,1,0,1,1,0,0,1,1,2,1,1,0,0,0,1,1,2,3,1,3,2,0,1,4,1,1,0,0,0,0,1,1,2,

%T 3,3,5,3,1,1,2,2,4,1,1,0,0,1,4,4,0,2,4,3,2,1,0,0,0,0,0,0,0,1,1,2,3,3,

%U 5,5,3,2,5,3,0,2,4,2,0,1,3,1,4,1,1,3,1,1,3,2,0,0,0,0,0,1,4,4,0,3,2,0,0,3,1

%N In binary representation: number of substrings of n^2 having the same number of 0's and 1's as n.

%e 22->'10110', 22^2=484->'111100100': a(22)=2, as there are two substrings of '111100100' having three 1's ano two 0's as '10110': '.11100...' and '..11001..'

%Y Cf. A023416, A000120, A000290, A007088.

%K nonn,base

%O 1,10

%A _Reinhard Zumkeller_, Nov 25 2002