cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A167404 Complete lower trim array of the Wythoff fractal sequence, A003603.

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%I A167404 #4 Apr 07 2020 22:42:28
%S A167404 1,1,1,1,2,1,2,1,2,1,1,3,1,2,1,3,2,3,3,2,1,2,1,4,1,3,2,1,1,4,2,4,4,3,
%T A167404 2,1,4,5,1,5,1,4,3,2,1,3,3,5,2,5,1,4,3,2,1,2,2,6,6,2,5,5,4,3,2,1,5,6,
%U A167404 3,3,6,6,1,5,4,3,2,1,1,1,7,1,7,2,6,1,5,4,3,2,1,6,7,4,7,3,7,2,6,6,5,4,3,2,1
%N A167404 Complete lower trim array of the Wythoff fractal sequence, A003603.
%C A167404 The lower trim sequence of a fractal sequence s is the fractal sequence
%C A167404 remaining after all 0's are deleted from the sequence s-1. Row n of A167404
%C A167404 consists of successive lower trim sequences beginning with A003603. Thus
%C A167404 every row is a fractal sequence. It is easy to prove that the combinatorial
%C A167404 limit or these rows is the sequence (1,2,3,4,5,6,...) = A000027.
%D A167404 Clark Kimberling, "Fractal sequences and interspersions," Ars Combinatoria 45 (1997) 157-168.
%e A167404 First five rows:
%e A167404 1 1 1 2 1 3 2 1 4 3 2 5 1 6 4 3 7 2 8 5 1 9 6 4 10 3 11 ... = A003603
%e A167404 1 2 1 3 2 1 4 5 3 2 6 1 7 4 8 5 3 9 2 10 6 1 11 7 4 12 .... = A167237
%e A167404 1 2 1 3 4 2 1 5 6 3 7 4 2 8 1 9 5 10 6 3 11 12 7 4 13 ...
%e A167404 1 2 3 1 4 5 2 6 3 1 7 8 4 9 5 2 10 11 6 3 12 1 13 7 14 ...
%e A167404 1 2 3 4 1 5 2 6 7 3 8 4 1 9 10 5 2 11 12 6 13 7 3 14 15 ...
%Y A167404 Cf. A003603, A167237, A035513.
%K A167404 nonn,tabl
%O A167404 1,5
%A A167404 _Clark Kimberling_, Nov 02 2009