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A Thue-Morse convolution.
1

%I #9 May 24 2018 15:55:51

%S 0,1,11,110,1101,11010,110100,1101001,11010011,110100110,1101001100,

%T 11010011001,110100110010,1101001100101,11010011001011,

%U 110100110010110,1101001100101101,11010011001011010,110100110010110100

%N A Thue-Morse convolution.

%C A019300 in binary.

%C Convolution of A010060 and 10^n.

%H G. C. Greubel, <a href="/A101556/b101556.txt">Table of n, a(n) for n = 0..995</a>

%F a(n) = Sum_{k=0..n} A010060(n-k) * 10^k.

%t Table[Sum[ThueMorse[n - k]*10^k, {k, 0, n}], {n, 0, 50}] (* _G. C. Greubel_, May 23 2018 *)

%Y Cf. A010060, A019300.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Dec 06 2004