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 sub sequences 0,1,10,01,110,1001,01110,1101001,100101110,011101101001... are formed where each sub sequence 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 sub sequences. Also note that the n-th sub sequence is the concatenation of the nth-3 and nth-2 sub sequences.
0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1,
3 seqfan posts
Sun Sep 11 07:22:27 CEST 2011 [seqfan] Re: A165221