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.
%I A179393 #2 Mar 31 2012 14:41:48 %S A179393 1,1,3,1,8,1,6,3,6,1,20,4,1,24,8,3,1,16,16,16,1,12,6,12,3,6,12,12,1, %T A179393 24,24,8,24,1,60,20,3,12,4,1,10,10,10,10,10,10,10,10,10,10,5,10,5,1, %U A179393 24,24,6,8,3,24,6,24,24,1,28,28,28,28,28,28,1,48,16,48,16,48,16,3,1,40,40,20 %N A179393 Period of the Fibonacci-type sequence described by A015134. %C A179393 First terms of A015134 are 1, 2, 2 and 4, meaning that there are 1, 2, 2 and 4 Fibonacci-type sequences modulo 1, 2, 3 and 4 respectively. These are: %C A179393 mod 1: 0 %C A179393 mod 2: 0 %C A179393 mod 2: 0,1,1 %C A179393 mod 3: 0 %C A179393 mod 3: 0,1,1,2,0,2,2,1 %C A179393 mod 4: 0 %C A179393 mod 4: 0,1,1,2,3,1 %C A179393 mod 4: 0,2,2 %C A179393 mod 4: 0,3,3,2,1,3 %C A179393 The first sequence for each modulus is the period-1 sequence of 0,0,0... This has the helpful side effect of causing 1 to act as a delimiter between modulus entries: the first 1 indicates the start of modulo-1 sequences, the second 1 indicates the start of modulo-2 sequences, etc. %C A179393 For each group of sequences (the group start indicated by a 1), the sum of the periods in that group equal the square of the modulus. 1 = 1, (1+3) = 4, (1+8) = 9, (1+6+3+6) = 16, etc. %H A179393 Will Nicholes, <a href="http://willnicholes.com/math/pisano.htm">Fibonacci numbers and Pisano periods</a>. %Y A179393 Cf. A015134, A179390, A179391, A179392. %K A179393 nonn,tabf %O A179393 1,3 %A A179393 _Will Nicholes_, Jul 12 2010