🚀 go-pugleaf

so x a member of *Z,    x=five hundred fifty three billion nine hundred
seventy seven million seven hundred seventy seven thousand seven hundred
fifty seven
now LiN(x)
now what  is a_n
and what is going to limit?

----- Original Message -----
From: Willse <gbtt@email.msn.com>
Newsgroups: can.rsc.mathsci
Sent: Monday, October 11, 1999 7:27 PM
Subject: Letters in the Name function


> All-
>
> Consider the function (whose domain is members of the set Z*, the set of
> nonnegative integers) defined by
>
> LiN(x)={letters in the formal English name of x}
>
> For example, LiN(8)=5, because "eight" has five letters.
>
> LiN(x) for the first few values of {0,1,2,...} are
> {4,3,3,5,4,4,3,5,5,4,3...}.
>
> Prove (or disprove) that, regardless of the initial value of x,
>
> {lim n->+oo}[a_n=LiN(x) if n=1, a_n=LiN(a_(n-1)) if n>1]=4
>
> Travis J. Willse
> sal-crumb@geocities.com
>
>
>
Willse <gbtt@email.msn.com> wrote in message
news:#mAdbiEF$GA.234@cpmsnbbsa05...
> All-
>
> Consider the function (whose domain is members of the set Z*, the set of
> nonnegative integers) defined by
>
> LiN(x)={letters in the formal English name of x}
>
> For example, LiN(8)=5, because "eight" has five letters.
>
> LiN(x) for the first few values of {0,1,2,...} are
> {4,3,3,5,4,4,3,5,5,4,3...}.
>
> Prove (or disprove) that, regardless of the initial value of x,
>
> {lim n->+oo}[a_n=LiN(x) if n=1, a_n=LiN(a_(n-1)) if n>1]=4
>
> Travis J. Willse
> sal-crumb@geocities.com
>
>
>