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a(n) = n for n < 7; a(7n) = a(n); if every 7th term (a(7), a(14), a(21),...) is deleted, this gives back the original sequence.
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%I #9 Mar 12 2015 22:33:32

%S 1,2,3,4,5,6,1,1,1,1,1,1,1,2,1,2,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,

%T 5,3,4,1,2,5,3,6,4,1,2,5,3,6,1,4,1,2,5,3,6,1,1,4,1,2,5,3,1,6,1,1,4,1,

%U 2,1,5,3,1,6,1,1,1,4,1,2,1,5,3,1,1,6,1,1,1,4,1,1,2,1,5,3,1,2,1,6

%N a(n) = n for n < 7; a(7n) = a(n); if every 7th term (a(7), a(14), a(21),...) is deleted, this gives back the original sequence.

%C A self-generating sequence. This is the m=7 analog of the m=10 variant A126616. Sequence A117943 is the m=3 analog with all terms decreased by 1.

%F a(n) = a(n/7) if n==0 (mod 7); a(n) = a(n - floor(n/7)) otherwise.

%o (PARI) a(n, m=7)=while(n>=m, if(n%m, n-=n\m, n\=m)); n \\ _M. F. Hasler_, Mar 07 2015

%Y Cf. A117943, A255824 - A255829, A126616.

%K nonn

%O 1,2

%A _M. F. Hasler_, Mar 07 2015