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A038557 Periodic derivative of n in base 3. 1


%S 0,2,1,4,8,0,8,0,4,10,14,15,22,26,18,7,2,3,20,21,25,5,6,1,17,9,13,28,

%T 32,33,40,44,36,52,47,48,64,68,69,76,80,72,61,56,57,19,23,24,4,8,0,16,

%U 11,12,56,57,61,68,69,64,80,72,76,11,12,16,23,24,19,8,0,4,47,48,52,32

%N Periodic derivative of n in base 3.

%D Simmons, G. J. The structure of the differentiation digraphs of binary sequences. Ars Combin. 35 (1993), A, 71-88. Math. Rev. 95f:05052.

%F If n=b_k b_{k-1} ... b_0 in base 3, a(n) is number with ternary expansion (b_k+b_{k-1}) (b_{k-1}+b_{k-2}) ... (b_1+b_0) (b_0+b_{k}).

%e 14=112->200 so a(14)=18.

%Y Cf. A038554-A038556.

%K nonn,nice,easy

%O 0,2

%A _N. J. A. Sloane_

%E Corrected and extended by _Naohiro Nomoto_, Apr 08 2001

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Last modified July 15 23:32 EDT 2020. Contains 335774 sequences. (Running on oeis4.)