Silliest series

hyh1048576 · 2003-07-01, 04:06

It seems puzzles of series are welcome.Here is the silliest one 8) :
1
11
21
1211
111221
.........??? :?
In fact it's really silly.(more than you can imagine ;) )

koal · 2003-07-01, 10:58

312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212211
3113112221232112111312211312112211
13211321321112131221123113112221131112212221
1113122113121113123112111311222112132113213221133122113211

8)

Seems to be a new kind of formula for a parabolic curve

rpresser · 2003-07-17, 20:36

Seems to be this rule, parsing from the left:

1 -> 11
11 -> 21
2 -> 12

so,
1
11
21
1211
111221
2111121211
12212112111221

rpresser · 2003-07-17, 20:38

Oh, geez. It's a word rule.

1
"one one" - 11
"two ones" - 21
"one two, one one" - 1211
"one one, one two, two ones" - 111221
"three ones, two twos, one one" - 312211
etc. ... meaning I agree with koal

ET_ · 2003-07-18, 00:41

It is known as Conway "Look and say" sequences.

John Horton Conway described a "cosmological theorem based upon these series.

http://mathworld.wolfram.com/CosmologicalTheorem.html
http://www.math.lsu.edu/~lither/jhc/

Also notice that such series find out a "constant" called Conway constant"

http://mathworld.wolfram.com/ConwaysConstant.html

Finally, each number sequence may be studied at

http://www.research.att.com/~njas/sequences/Seis.html

Regards :-)

Luigi

hyh1048576 · 2003-07-18, 06:22

SO MUCH RESEARCH ON THIS！！！！！
I just thought it's a funny puzzle ;)

cheesehead · 2003-07-18, 07:10

Edit: On second thought, never mind.

ET_ · 2003-07-18, 23:26

Cheesehead...

Well, never mind :-D

Luigi

2003-07-01, 04:06	#1
hyh1048576 Jun 2003 2⁶ Posts	Silliest series It seems puzzles of series are welcome.Here is the silliest one 8) : 1 11 21 1211 111221 .........??? :? In fact it's really silly.(more than you can imagine ;) )

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2003-07-01, 10:58	#2
koal Nov 2002 Vienna, Austria 101001₂ Posts	312211 13112221 1113213211 31131211131221 13211311123113112211 11131221133112132113212211 3113112221232112111312211312112211 13211321321112131221123113112221131112212221 1113122113121113123112111311222112132113213221133122113211 8) Seems to be a new kind of formula for a parabolic curve

2003-07-17, 20:36	#3
rpresser Jul 2003 2·5 Posts	Seems to be this rule, parsing from the left: 1 -> 11 11 -> 21 2 -> 12 so, 1 11 21 1211 111221 2111121211 12212112111221

2003-07-17, 20:38	#4
rpresser Jul 2003 10₁₀ Posts	Oh, geez. It's a word rule. 1 "one one" - 11 "two ones" - 21 "one two, one one" - 1211 "one one, one two, two ones" - 111221 "three ones, two twos, one one" - 312211 etc. ... meaning I agree with koal

2003-07-18, 00:41	#5
ET_ Banned "Luigi" Aug 2002 Team Italia 12CF₁₆ Posts	It is known as Conway "Look and say" sequences. John Horton Conway described a "cosmological theorem based upon these series. http://mathworld.wolfram.com/CosmologicalTheorem.html http://www.math.lsu.edu/~lither/jhc/ Also notice that such series find out a "constant" called Conway constant" http://mathworld.wolfram.com/ConwaysConstant.html Finally, each number sequence may be studied at http://www.research.att.com/~njas/sequences/Seis.html Regards :-) Luigi

2003-07-18, 06:22	#6
hyh1048576 Jun 2003 2⁶ Posts	SO MUCH RESEARCH ON THIS！！！！！ I just thought it's a funny puzzle ;)

2003-07-18, 07:10	#7
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 2²·3·641 Posts	Edit: On second thought, never mind.

2003-07-18, 23:26	#8
ET_ Banned "Luigi" Aug 2002 Team Italia 3²×5×107 Posts	Cheesehead... Well, never mind :-D Luigi