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.

A141825 Encodes permutations which "avoid" the subsequence "123" based on the mapping described in A051683.

This page as a plain text file.
%I A141825 #3 Mar 31 2012 13:23:39
%S A141825 0,1,2,3,4,6,7,8,9,10,12,13,16,18,24,25,26,27,28,30,31,32,33,34,36,37,
%T A141825 40,42,48,49,50,51,52,60,61,64,66,72,73,76,90,96
%N A141825 Encodes permutations which "avoid" the subsequence "123" based on the mapping described in A051683.
%C A141825 Note that a(n) can be viewed as an irregular table with shape sequence 1 1 3 9 28 ... demonstrating the relationships with 1 2 5 14 42 ... Cf. A000108 and A000142.
%C A141825 0
%C A141825 1
%C A141825 2 3 4
%C A141825 6 7 8 9 10 12 13 16 18
%C A141825 24 25 26 27 28 30 31 32 ... 96
%C A141825 120 ...
%e A141825 The numbers 0 thru 4 map to 321,312,231,213 and 132 and are included because they avoid 123. The next number, 5, maps to 123 so is excluded from a(n).
%Y A141825 Cf. A000108 A000142 A051683 A141824.
%K A141825 more,nonn
%O A141825 1,3
%A A141825 _Alford Arnold_, Jul 24 2008