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 A048584 #16 Dec 30 2023 23:47:47 %S A048584 5,7,10,15,23,36,57,91,146,235,379,612,989,1599,2586,4183,6767,10948, %T A048584 17713,28659,46370,75027,121395,196420,317813,514231,832042,1346271, %U A048584 2178311,3524580,5702889,9227467,14930354,24157819,39088171,63245988,102334157,165580143 %N A048584 Pisot sequence L(5,7). %C A048584 a(n)= BA^(n)B(1), n>=0, with compositions of Wythoff's complementary A(n):=A000201(n) and B(n)=A001950(n) sequences. See the W. Lang link under A135817 for the Wythoff representation of numbers (with A as 1 and B as 0 and the argument 1 omitted). E.g. 5=`00`, 7=`010`, 10=`0110`, 15=`01110`,..., in Wythoff code. %H A048584 Colin Barker, <a href="/A048584/b048584.txt">Table of n, a(n) for n = 0..1000</a> %H A048584 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1). %F A048584 a(n) = Fib(n+4)+2. a(n) = 2a(n-1) - a(n-3). %F A048584 a(n)=A020743(n-1), n>0. - _R. J. Mathar_, Oct 15 2008 %t A048584 LinearRecurrence[{2,0,-1},{5,7,10},40] (* _Harvey P. Dale_, Oct 02 2016 *) %o A048584 (PARI) pisotL(nmax, a1, a2) = { %o A048584 a=vector(nmax); a[1]=a1; a[2]=a2; %o A048584 for(n=3, nmax, a[n] = ceil(a[n-1]^2/a[n-2])); %o A048584 a %o A048584 } %o A048584 pisotL(50, 5, 7) \\ _Colin Barker_, Aug 07 2016 %Y A048584 Subsequence of A018910. See A008776 for definitions of Pisot sequences. %K A048584 nonn %O A048584 0,1 %A A048584 _David W. Wilson_