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Convolution of A010060 and A000244.
1

%I #8 May 24 2018 08:03:38

%S 0,1,4,12,37,111,333,1000,3001,9003,27009,81028,243084,729253,2187760,

%T 6563280,19689841,59069523,177208569,531625708,1594877124,4784631373,

%U 14353894120,43061682360,129185047080,387555141241,1162665423724

%N Convolution of A010060 and A000244.

%C A Thue-Morse convolution.

%H G. C. Greubel, <a href="/A101555/b101555.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = Sum_{k=0..n} A010060(n-k) * 3^k.

%t Table[Sum[ThueMorse[n - k]*3^k, {k, 0, n}], {n, 0, 100}] (* _G. C. Greubel_, May 23 2018 *)

%Y Cf. A000244, A010060.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Dec 06 2004