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.

A165221 The Padovan sequence analog of the Fibonacci "rabbit" constant binary expansion. Starting with 0 and using the transitions 0->1,1->10,10->01 the subsequences 0,1,10,01,110,1001,01110,1101001,100101110,011101101001... are formed where each subsequence has P sub n ones and length P sub (n-1) binary digits, where P sub n is the n-th Padovan number. This sequence is the concatenation of all the subsequences. Also note that the n-th subsequence is the concatenation of the n-th-3 and n-th-2 subsequences.

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%I A165221 #13 Apr 01 2022 11:39:22
%S A165221 0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1
%N A165221 The Padovan sequence analog of the Fibonacci "rabbit" constant binary expansion. Starting with 0 and using the transitions 0->1,1->10,10->01 the subsequences 0,1,10,01,110,1001,01110,1101001,100101110,011101101001... are formed where each subsequence has P sub n ones and length P sub (n-1) binary digits, where P sub n is the n-th Padovan number. This sequence is the concatenation of all the subsequences. Also note that the n-th subsequence is the concatenation of the n-th-3 and n-th-2 subsequences.
%H A165221 Ian Stewart, <a href="http://web.archive.org/web/20120330094207/http://www.fortunecity.com/emachines/e11/86/padovan.html">Tales of a Neglected Number</a>
%H A165221 Ian Stewart, <a href="https://www.jstor.org/stable/24989576">Tales of a Neglected Number</a>, Mathematical Recreations, Scientific American, Vol. 274, No. 6 (1996), pp. 102-103.
%H A165221 E. Wilson, <a href="http://www.anaphoria.com/meruone.PDF">The Scales of Mt. Meru</a> (1999)
%K A165221 nonn
%O A165221 1,1
%A A165221 _John Lien_, Sep 08 2009