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.

A097481 Write the positive even integers on labels in numerical order, forming an infinite sequence L. Consider the succession of digits of L: 2 4 6 8 1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 4 2 6 2 8 3 0 ... (A036211). This sequence gives a derangement of L that produces the same succession of digits, subject to the constraint that the smallest unused label must be used that does not lead to a contradiction.

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%I A097481 #19 Nov 26 2015 23:55:17
%S A097481 24,6,8,10,12,14,16,18,20,2,224,26,28,30,32,34,36,38,40,4,244,46,48,
%T A097481 50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,
%U A097481 96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132
%N A097481 Write the positive even integers on labels in numerical order, forming an infinite sequence L. Consider the succession of digits of L: 2 4 6 8 1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 4 2 6 2 8 3 0 ... (A036211). This sequence gives a derangement of L that produces the same succession of digits, subject to the constraint that the smallest unused label must be used that does not lead to a contradiction.
%C A097481 Derangement here means the n-th element of L is not the n-th element of this sequence, so a(n) != 2n.
%e A097481 We must begin with 2,4,6,8,... and we cannot have a(1) = 2, so the first possibility is the label "24". The next term must be the smallest available label not leading to a contradiction, thus "6". The next one will be "8", etc. After the label "20" the smallest available label is "2". After this "2" we cannot have a(11) = 22 -- we thus take the smallest available label which is "224". No label is allowed to start with a leading zero.
%Y A097481 Cf. A005843, A097484.
%K A097481 base,easy,nonn
%O A097481 1,1
%A A097481 _Eric Angelini_, Sep 19 2004
%E A097481 Corrected and extended by _Jacques ALARDET_ and _Eric Angelini_, Aug 12 2008
%E A097481 Derangement wording introduced by _Danny Rorabaugh_, Nov 26 2015