🚀 go-pugleaf

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All-

Oops!  This wasn't supposed to be a reply.  I'll repost it.

Travis J. Willse
sal-crumb@geocities.com


--=20


  Willse <gbtt@email.msn.com> wrote in message =
news:eCe5Fw6E$GA.211@cpmsnbbsa03...
  All-

  Consider the function (whose domain is members of the set Z*, the set =
of nonnegative integers) defined by

  LiN(x)=3D{letters in the formal English name of x}

  For example, LiN(8)=3D5, 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=3DLiN(x) if n=3D1, a_n=3DLiN(a_(n-1)) if n>1]=3D4

  Travis J. Willse
  sal-crumb@geocities.com


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</HEAD>
<BODY bgColor=3D#ffffff>
<DIV>All-</DIV>
<DIV>&nbsp;</DIV>
<DIV>Oops!&nbsp; This wasn't supposed to be a reply.&nbsp; I'll repost =
it.</DIV>
<DIV>&nbsp;</DIV>
<DIV>Travis J. Willse</DIV>
<DIV><A =
href=3D"mailto:sal-crumb@geocities.com">sal-crumb@geocities.com</A></DIV>=

<DIV>&nbsp;</DIV>
<DIV><BR>-- <BR><BR></DIV>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: =
0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px">
  <DIV>Willse &lt;<A =
href=3D"mailto:gbtt@email.msn.com">gbtt@email.msn.com</A>&gt;=20
  wrote in message <A=20
  =
href=3D"news:eCe5Fw6E$GA.211@cpmsnbbsa03">news:eCe5Fw6E$GA.211@cpmsnbbsa0=
3</A>...</DIV>
  <DIV>All-</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>Consider the function (whose domain is members of the set Z*, the =
set of=20
  nonnegative integers) defined by</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>LiN(x)=3D{letters in the formal English name of x}</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>For example, LiN(8)=3D5, because "eight" has five letters.</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>LiN(x) for the first few values of {0,1,2,...} are=20
  {4,3,3,5,4,4,3,5,5,4,3...}.</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>Prove (or disprove) that, regardless of the initial value of =
x,</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>{lim n-&gt;+oo}[a_n=3DLiN(x) if n=3D1, a_n=3DLiN(a_(n-1)) if =
n&gt;1]=3D4</DIV>
  <DIV>&nbsp;</DIV>
  <DIV>Travis J. Willse</DIV>
  <DIV><A=20
href=3D"mailto:sal-crumb@geocities.com">sal-crumb@geocities.com</A></DIV>=

  <DIV>&nbsp;</DIV></BLOCKQUOTE></BODY></HTML>

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