Consider the following sequence:
1
11
21
1211
111221
312211
12112221
1112213211
...
what do you think is the next line in the sequence? :D
2006-08-08 01:11:21 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
*erata
the last two lines are:
13112221
1113213211
...
2006-08-08 02:10:39 · update #1
312211131221
Just read the previous line and type it in
one one
two ones
one two and one one etc...
2006-08-08 01:34:01 · answer #1 · answered by blind_chameleon 5 · 0⤊ 0⤋
Blind_chamelion has the right idea. So, if the last line is 1113213211, the next line should be 31131211131221. This is similar to "run length encoding" used for things like compression of images (e.g. GIF). For a given string of digits, we take each "run" of similar digits and render them as nD, where n is the number of digits in the run, and D is the digit itself. Often, n turns out to be 1, but that's okay.
2006-08-08 03:53:42 · answer #2 · answered by arbeit 4 · 0⤊ 0⤋
1
11
21
1211
111221
312211
12112221
1112213211
2132112111
2006-08-08 02:05:05 · answer #3 · answered by Dibakar D 1 · 0⤊ 0⤋