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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. 0

%I

%S 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 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 I. Stewart, <a href="http://www.fortunecity.com/emachines/e11/86/padovan.html">Tales of a Neglected Number</a>

%H E. Wilson, <a href="http://www.anaphoria.com/meruone.PDF">The Scales of Mt. Meru</a> (1999)

%K nonn

%O 1,1

%A _John Lien_, Sep 08 2009

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Last modified October 21 03:24 EDT 2019. Contains 328291 sequences. (Running on oeis4.)