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Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.
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%I #13 Jul 13 2023 09:43:30

%S 7,11,17,26,40,62,96,149,231,358,555,860,1333,2066,3202,4963,7692,

%T 11922,18478,28639,44388,68798,106632,165272,256160,397030,615369,

%U 953779,1478291,2291248,3551275,5504229,8531172,13222723,20494301

%N Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.

%H Harvey P. Dale, <a href="/A021013/b021013.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Ph#Pisot">Index entries for Pisot sequences</a>

%t nxt[{a_,b_}]:={b,Round[b^2/a]}; Transpose[NestList[nxt,{7,11},40]][[1]] (* _Harvey P. Dale_, Dec 17 2013 *)

%Y Cf. A021014.

%K nonn

%O 0,1

%A _R. K. Guy_