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A048586 Pisot sequence L(6,8).

%I A048586 #13 Oct 25 2023 09:28:28
%S A048586 6,8,11,16,24,36,54,81,122,184,278,421,638,967,1466,2223,3371,5112,
%T A048586 7753,11759,17835,27051,41030,62233,94394,143176,217169,329402,499638,
%U A048586 757853,1149515,1743590,2644686,4011473,6084623,9229188,13998881,21233577,32207203
%N A048586 Pisot sequence L(6,8).
%H A048586 Colin Barker, <a href="/A048586/b048586.txt">Table of n, a(n) for n = 0..1000</a>
%H A048586 <a href="/index/Ph#Pisot">Index entries for Pisot sequences</a>
%p A048586 L := proc(a0,a1,n)
%p A048586     option remember;
%p A048586     if n = 0 then
%p A048586         a0 ;
%p A048586     elif n = 1 then
%p A048586         a1;
%p A048586     else
%p A048586         ceil( procname(a0,a1,n-1)^2/procname(a0,a1,n-2)) ;
%p A048586     end if;
%p A048586 end proc:
%p A048586 A048586 := proc(n)
%p A048586     L(6,8,n) ;
%p A048586 end proc: # _R. J. Mathar_, Feb 12 2016
%t A048586 L[a0_, a1_, n_] := L[a0, a1, n] = Switch[n, 0, a0, 1, a1, _, Ceiling[L[a0, a1, n-1]^2/L[a0, a1, n-2]]];
%t A048586 a[n_] := L[6, 8, n];
%t A048586 Table[a[n], {n, 0, 50}] (* _Jean-François Alcover_, Oct 25 2023, after _R. J. Mathar_ *)
%o A048586 (PARI) pisotL(nmax, a1, a2) = {
%o A048586   a=vector(nmax); a[1]=a1; a[2]=a2;
%o A048586   for(n=3, nmax, a[n] = ceil(a[n-1]^2/a[n-2]));
%o A048586   a
%o A048586 }
%o A048586 pisotL(50, 6, 8) \\ _Colin Barker_, Aug 07 2016
%Y A048586 Subsequence of A048583. See A008776 for definitions of Pisot sequences.
%K A048586 nonn
%O A048586 0,1
%A A048586 _David W. Wilson_