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A163255 An interspersion: the order array of A163254. 11

%I #11 Feb 29 2016 09:36:01

%S 1,3,2,7,5,4,13,10,8,6,21,17,14,11,9,31,26,22,18,15,12,43,37,32,27,23,

%T 19,16,57,50,44,38,33,28,24,20,73,65,58,51,45,39,34,29,25,91,82,74,66,

%U 59,52,46,40,35,30,111,101,92,83,75,67,60,53,47,41,36

%N An interspersion: the order array of A163254.

%C A permutation of the natural numbers.

%C Except for initial terms, rows 1 to 4 are A002061, A002522, A014206, A059100 and columns 1 to 4 are A002620, A024206, A014616, A004116.

%C This is the interspersion of the fractal sequence A167430; i.e., row n of this array consists of the numbers k such that n=A167430(k). - _Clark Kimberling_, Nov 03 2009

%H Clark Kimberling, <a href="http://www.fq.math.ca/Papers1/48-1/Kimberling.pdf">Doubly interspersed sequences, double interspersions and fractal sequences</a>, The Fibonacci Quarterly 48 (2010) 13-20.

%e Corner:

%e 1....3....7...13

%e 2....5...10...17

%e 4....8...14...22

%e To obtain A163255 from A163254, replace each term of A163254 by its rank when all the terms of A163254 are arranged in increasing order.

%Y Cf. A002061, A002522, A014206, A059100, A002620, A024206, A014616, A004116, A163253, A163254.

%Y Cf. A167430. [From _Clark Kimberling_, Nov 03 2009]

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Jul 24 2009

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)