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

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]));
  a
}
pisotT(50, 7, 10) \\ Colin Barker, Jul 29 2016

Crossrefs

See A008776 for definitions of Pisot sequences.

Sequence in context: A192292 A030123 A191833 * A134302 A229306 A023485

Adjacent sequences: A020749 A020750 A020751 * A020753 A020754 A020755

Keyword

nonn

Author

David W. Wilson

Status

approved