log(m)'s close to integers, various log bases

[Neil Fernandez]

In message <Pine.LNX.4.44.0301201946040.17195-100000 at eva117.cs.ualberta.
ca>, Jim Nastos <nastos at cs.ualberta.ca> writes
>On Tue, 21 Jan 2003, Neil Fernandez wrote:
>
>> Phi gives
>> 2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207,
>> 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443,
>> 439204, 710647
><snip>
>> For phi: 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1,
>> 1, -1, 1, -1, 1, -1, 1, -1, 1
>> 
>> Does the phi sequence ever stop alternating between 1 and -1?
>
>  Yes, it seems to stop alternating on the 35th term:

[snip]

>1149851 -
>1860498 +
>3010349 -
>4870847 +
>7881196 -
>12752043 +
>20633239 +

I get:

log_phi(20633239)=34.9999999999999951187742...

Neil
-- 
Neil Fernandez