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A self-descriptive fractal sequence. Each element gives the length and first term of a finite arithmetic sequence. Replace each finite sequence with its length (or first term) and you recover the original infinite sequence.
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%I #4 Mar 31 2017 21:11:15

%S 4,5,6,7,5,6,7,8,9,6,7,8,9,10,11,7,8,9,10,11,12,13,5,6,7,8,9,6,7,8,9,

%T 10,11,7,8,9,10,11,12,13,8,9,10,11,12,13,14,15,9,10,11,12,13,14,15,16,

%U 17,6,7,8,9,10,11,7,8,9,10,11,12,13,8,9,10,11,12,13,14,15,9,10,11,12,13,14

%N A self-descriptive fractal sequence. Each element gives the length and first term of a finite arithmetic sequence. Replace each finite sequence with its length (or first term) and you recover the original infinite sequence.

%e The first element is 4, describing the four-term arithmetic sequence 4, 5, 6, 7. The second element, 5, describes the five-term sequence 5, 6, 7, 8, 9.

%Y Cf. A114544, A114545, A114547.

%K easy,nonn

%O 4,1

%A _Kerry Mitchell_, Dec 07 2005