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.

A163255 An interspersion: the order array of A163254.

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%I A163255 #13 Jan 05 2025 19:51:39
%S A163255 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 A163255 19,16,57,50,44,38,33,28,24,20,73,65,58,51,45,39,34,29,25,91,82,74,66,
%U A163255 59,52,46,40,35,30,111,101,92,83,75,67,60,53,47,41,36
%N A163255 An interspersion: the order array of A163254.
%C A163255 A permutation of the natural numbers.
%C A163255 Except for initial terms, rows 1 to 4 are A002061, A002522, A014206, A059100 and columns 1 to 4 are A002620, A024206, A014616, A004116.
%C A163255 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 A163255 Clark Kimberling, <a href="https://web.archive.org/web/2024*/https://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 A163255 Corner:
%e A163255 1....3....7...13
%e A163255 2....5...10...17
%e A163255 4....8...14...22
%e A163255 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 A163255 Cf. A002061, A002522, A014206, A059100, A002620, A024206, A014616, A004116, A163253, A163254.
%Y A163255 Cf. A167430. [From _Clark Kimberling_, Nov 03 2009]
%K A163255 nonn,tabl
%O A163255 1,2
%A A163255 _Clark Kimberling_, Jul 24 2009