----- Original Message ----- From: "Jud McCranie" <judmccr@bellsouth.net> To: "Dan Hoey" <Hoey@aic.nrl.navy.mil> Cc: <math-fun@mailman.xmission.com> Sent: Tuesday, February 11, 2003 4:21 PM Subject: Re: [math-fun] Ulam(1,2)
At 03:36 PM 2/11/2003, Dan Hoey wrote:
Oops, let's stick with:
Second, letting f(n) = (u(n)/21.6) - floor(u(n)/21.6), for what n in 1000...1999 is .5 <= f(n) < .55?
There should only be four or five answers.
I get
1091 0.527777777777778 - 19/36 1210 0.537037037037037 - 29/54 1730 0.500000000000000 - 1/2 1748 0.509259259259259 - 55/108 1947 0.509259259259259 - 55/108
For n = 1730, u(n) = 21870, my f(n) fell a hair below .5, it should have been .5 exactly. This put 1730 into the wrong bucket, and that probably accounts for the discrepancy between my bucket counts and others'.