A020752 - OEIS

A020752

Pisot sequence T(7,10), a(n) = floor(a(n-1)^2/a(n-2)).

7, 10, 14, 19, 25, 32, 40, 50, 62, 76, 93, 113, 137, 166, 201, 243, 293, 353, 425, 511, 614, 737, 884, 1060, 1271, 1524, 1827, 2190, 2625, 3146, 3770, 4517, 5412, 6484, 7768, 9306, 11148, 13354, 15996, 19160, 22949, 27487, 32922, 39431, 47226, 56561, 67741, 81130

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

MATHEMATICA

nxt[{a_, b_}]:={b, Floor[b^2/a]}; NestList[nxt, {7, 10}, 50][[All, 1]] (* Harvey P. Dale, Mar 08 2020 *)

PROG

(PARI) pisotT(nmax, a1, a2) = {

a=vector(nmax); a[1]=a1; a[2]=a2;

for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]));

}