login
Inner product of the Zeckendorf binary representation of n and its reverse.
3

%I #8 Mar 10 2013 16:43:48

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

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

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

%N Inner product of the Zeckendorf binary representation of n and its reverse.

%C a(n) = sum (A189920(n,k) * A213676(n,k): k = 1..A072649(n));

%C a(A027941(n)) = n.

%H Reinhard Zumkeller, <a href="/A216176/b216176.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a216176 n = sum $ zipWith (*) zs $ reverse zs

%o where zs = a189920_row n

%Y Cf. A159780.

%K nonn

%O 1,4

%A _Reinhard Zumkeller_, Mar 10 2013