A022035 Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(6,37).

6, 37, 228, 1404, 8645, 53230, 327753, 2018073, 12425877, 76509828, 471093813, 2900665005, 17860258910, 109970936934, 677123832923, 4169253239949, 25671334745061, 158066058755653, 973259831585207, 5992650839998179, 36898537188819414, 227195290202341077

Offset

0,1

Comments

This coincides with the Pisot T(6,37) sequence as defined in A008776 at least up to n<=16000. - R. J. Mathar, Feb 13 2016

Links

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

Index entries for Pisot sequences

Formula

Empirical g.f.: -(x^6+x^5+x^4+x^3-x-6) / (x^7+x^6+x^5+x^4-x^2-6*x+1). - Colin Barker, Sep 18 2015

Prog

(PARI) T(a0, a1, maxn) = a=vector(maxn); a[1]=a0; a[2]=a1; for(n=3, maxn, a[n]=ceil(a[n-1]^2/a[n-2])-1); a
T(6, 37, 30) \\ Colin Barker, Feb 16 2016

Crossrefs

Sequence in context: A033124 A288786 A180032 * A255119 A005668 A018904

Adjacent sequences: A022032 A022033 A022034 * A022036 A022037 A022038

Keyword

nonn

Author

R. K. Guy

Status

approved