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 A230113 Digital root of summed Fibonacci and Lucas digital roots indexed by numbers not divisible by 2, 3 or 5. 0

%I

%S 3,4,5,6,6,5,4,3,4,6,6,5,4,3,3,5,6,5,4,3,3,4,5,6,5,3,3,4,5,6,6,4,3,4,

%T 5,6,6,5,4,3,4,6,6,5,4,3,3,5,6,5,4,3,3,4,5,6,5,3,3,4,5,6,6,4,3,4,5,6,

%U 6,5,4,3,4,6,6,5,4,3,3,5,6,5,4,3,3,4,5,6,5,3,3,4,5,6,6,4

%N Digital root of summed Fibonacci and Lucas digital roots indexed by numbers not divisible by 2, 3 or 5.

%C 32-beat repeating sequence is periodically palindromic starting at Length(40), then at Lengths (72)...(104)...(136)...(168)...{+32 terms ... repeat ... n}.

%e Referencing A227896 (Fibo) and A233766 (Lucas): 1st Fibo term (1) + 1st Lucas term (2) = 3 = digital root 3. Likewise, 2nd Fibo term (4) + 2nd Lucas term (9) = 13 = digital root 4.

%Y Cf. A007775, A227896, A233766, A000032, A000033.

%K nonn,base,less

%O 1,1

%A _Gary Croft_, Dec 20 2013

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