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Elizabethan Challenge
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John Jones
Mar 4, 2013, 9:29:57 AM3/4/13
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Here is question A3 taken from the Putnam competition of 1603 (*).
A3. The fibonacci fequence of numberf if defined af the firft and
fecond being unity and thereafter each if the fum of itf two
predecefforf.
Confider the fequence F, where the firft fuch if congruent to the firft
fibonacci number, and thereafter each if a multiple 100 of itf
predeceffor augmented with the fibonacci number in correfpondence.
Exempli gratia: the fifth F if 101020305.
It if eftablifhed that of the 1603rd number of F, the 8 digitf
beginning at the 1596th even unto the 1603rd read the fame in reverfe af
in normal reading, which playfmith Ben Jonfon haf defcribed in recent
timef af a "palindrome".
What if that palindrome?
====
You may use the then timely invention of the 8th Laird of Merchistoun,
John Napier, of "Napier's Bones" to aid calculations.
HTH
JJ
(*) just joshing - only my frog would remember that far back.
PS sorry about the f's, ie "s"'s, but cant readily reverfe the edit!
A3. The fibonacci fequence of numberf if defined af the firft and
fecond being unity and thereafter each if the fum of itf two
predecefforf.
Confider the fequence F, where the firft fuch if congruent to the firft
fibonacci number, and thereafter each if a multiple 100 of itf
predeceffor augmented with the fibonacci number in correfpondence.
Exempli gratia: the fifth F if 101020305.
It if eftablifhed that of the 1603rd number of F, the 8 digitf
beginning at the 1596th even unto the 1603rd read the fame in reverfe af
in normal reading, which playfmith Ben Jonfon haf defcribed in recent
timef af a "palindrome".
What if that palindrome?
====
You may use the then timely invention of the 8th Laird of Merchistoun,
John Napier, of "Napier's Bones" to aid calculations.
HTH
JJ
(*) just joshing - only my frog would remember that far back.
PS sorry about the f's, ie "s"'s, but cant readily reverfe the edit!
Virgil
Mar 4, 2013, 4:57:35 PM3/4/13
to
In article <MPG.2b9ec03d3...@news.eternal-september.org>,
A3. The sibonacci sequence os numbers is desined as the sirst and
second being unity and thereaster each is the sum os its two
predecessors.
Consider the sequence S, where the sirst such is congruent to the sirst
sibonacci number, and thereaster each is a multiple 100 os its
predecessor augmented with the sibonacci number in correspondence.
Exempli gratia: the sisth s is 101020305.
It is established that os the 1603rd number os S, the 8 digits
beginning at the 1596th even unto the 1603rd read the same in reverse as
in normal reading, which playsmith Ben Jonson has described in recent
times as a "palindrome".
What is that palindrome
--
John Jones <a1...@hotamil.com> wrote:
> Here is question A3 taken from the Putnam competition of 1603 (*).
>
> A3. The fibonacci fequence of numberf if defined af the firft and
> fecond being unity and thereafter each if the fum of itf two
> predecefforf.
>
> Confider the fequence F, where the firft fuch if congruent to the firft
> fibonacci number, and thereafter each if a multiple 100 of itf
> predeceffor augmented with the fibonacci number in correfpondence.
> Exempli gratia: the fifth F if 101020305.
>
> It if eftablifhed that of the 1603rd number of F, the 8 digitf
> beginning at the 1596th even unto the 1603rd read the fame in reverfe af
> in normal reading, which playfmith Ben Jonfon haf defcribed in recent
> timef af a "palindrome".
>
> What if that palindrome?
Are you sure the question isn't:
> Here is question A3 taken from the Putnam competition of 1603 (*).
>
> A3. The fibonacci fequence of numberf if defined af the firft and
> fecond being unity and thereafter each if the fum of itf two
> predecefforf.
>
> Confider the fequence F, where the firft fuch if congruent to the firft
> fibonacci number, and thereafter each if a multiple 100 of itf
> predeceffor augmented with the fibonacci number in correfpondence.
> Exempli gratia: the fifth F if 101020305.
>
> It if eftablifhed that of the 1603rd number of F, the 8 digitf
> beginning at the 1596th even unto the 1603rd read the fame in reverfe af
> in normal reading, which playfmith Ben Jonfon haf defcribed in recent
> timef af a "palindrome".
>
> What if that palindrome?
A3. The sibonacci sequence os numbers is desined as the sirst and
second being unity and thereaster each is the sum os its two
predecessors.
Consider the sequence S, where the sirst such is congruent to the sirst
sibonacci number, and thereaster each is a multiple 100 os its
predecessor augmented with the sibonacci number in correspondence.
Exempli gratia: the sisth s is 101020305.
It is established that os the 1603rd number os S, the 8 digits
beginning at the 1596th even unto the 1603rd read the same in reverse as
in normal reading, which playsmith Ben Jonson has described in recent
times as a "palindrome".
What is that palindrome
--
John Jones
Mar 5, 2013, 5:06:45 AM3/5/13
to
On Mon, 04 Mar 2013 14:57:35 -0700, "Virgil" <vir...@ligriv.com> wrote
in article <virgil-FB065C....@BIGNEWS.USENETMONSTER.COM>...
sor fure!
JJ
in article <virgil-FB065C....@BIGNEWS.USENETMONSTER.COM>...
JJ
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