0,8

The sequence is designed to have alpha as the limiting ratio of a(n+1)/a(n): 1.1580370064762462304...

Table of n, a(n) for n=0..50.

a = (1 + 3^(1/4))/2; b = (1 - 3^(1/4))/2;

f[n_] := Floor[FullSimplify[(a^n - b^n)/(a - b)]]

Table[f[n], {n, 0, 50}]

Cf. A174427.

Sequence in context: A164066 A053251 A090184 * A029057 A087897 A029056

Adjacent sequences: A174572 A174573 A174574 * A174576 A174577 A174578

nonn,less

Roger L. Bagula, Nov 29 2010

approved