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Posers and Puzzles

Posers and Puzzles

  1. 17 Mar '10 20:48
    What row of numbers comes next in this series?


    1
    11
    21
    1211
    111221
    312211
    13112221
  2. 17 Mar '10 20:49
    if you want more puzzles ask me
  3. 17 Mar '10 21:36
    Nice 🙂
    1113213211
  4. 17 Mar '10 22:12
    Followed by 31131211131221
  5. 18 Mar '10 01:07
    Originally posted by SJPinder
    Nice 🙂
    1113213211
    very good. want more?????????
  6. 18 Mar '10 07:38
    go for it, sloppy, post them all.
  7. 18 Mar '10 09:39
    This perl script outputs the first 10:

    my ($num,$last) = (1,10);
    for (my $n=1; $n<=$last; $n++) {
    print "entry $n is $num \n";
    my ($newnum, $lastchar, $count) = ('','',1);
    foreach my $char (split //, $num) {
    ($lastchar = $char, next) unless $lastchar;
    ($count++, next) if $char eq $lastchar;
    $newnum .= $count.$lastchar;
    $lastchar = $char;
    $count = 1;
    }
    $num = $newnum.$count.$lastchar;
    }

    That gives:

    entry 1 is 1
    entry 2 is 11
    entry 3 is 21
    entry 4 is 1211
    entry 5 is 111221
    entry 6 is 312211
    entry 7 is 13112221
    entry 8 is 1113213211
    entry 9 is 31131211131221
    entry 10 is 13211311123113112211
  8. 18 Mar '10 17:53
    Originally posted by iamatiger
    This perl script outputs the first 10:

    my ($num,$last) = (1,10);
    for (my $n=1; $n<=$last; $n++) {
    print "entry $n is $num \n";
    my ($newnum, $lastchar, $count) = ('','',1);
    foreach my $char (split //, $num) {
    ($lastchar = $char, next) unless $lastchar;
    ($count++, next) if $char eq $lastchar;
    ...[text shortened]... 12221
    entry 8 is 1113213211
    entry 9 is 31131211131221
    entry 10 is 13211311123113112211
    can anyone go one step further can give entry 11?
  9. Standard member forkedknight
    Defend the Universe
    18 Mar '10 19:02
    Originally posted by sloppyb
    can anyone go one step further can give entry 11?
    Or more succinctly, the answer to this series is that entry n is a description of n-1.

    in the form <x><a><y><b>...

    where <x> is the number of consecutive characters <a>
    and <y> is the number of consecutive characters <b>
    etc.
  10. 18 Mar '10 20:09 / 5 edits
    Originally posted by sloppyb
    can anyone go one step further can give entry 11?
    Just edit the 10 in the first line of the script to 20 or whatever:

    entry 11 is 11131221133112132113212221
    entry 12 is 3113112221232112111312211312113211
    entry 13 is 1321132132111213122112311311222113111221131221
    entry 14 is
    11131221131211131231121113112221121321132132211331222113112211
    entry 15 is
    3113112221131112311311121321123113213221121113122113121113222123113221
    13212221
    entry 16 is
    1321132132211331121321133112111312211213211312111322211231131122211311
    12311332111213211322211312113211
    entry 17 is
    1113122113121113222123211211131221232112311311222112111312211311123113
    3221121321132132211331121321231231121113122113322113111221131221
    entry 18 is
    3113112221131112311332111213122112311311221112131221121321132132211231
    1311222113311213212322211211131221131211132221232112111312111213111213
    211231131122212322211331222113112211
    entry 19 is
    1321132132211331121321231231121113112221121321132122311211131122211211
    1312211312111322211213211321322123211211131211121332211231131122211311
    1231133211121312211231131112311211133112111312211213211321321112133221
    2311322113212221
    entry 20 is
    1113122113121113222123211211131211121311121321123113213221121113122113
    1211221321123113213221123113112221131112311332211211131221131211132211
    1213122112311311123112112322211213211321322113311213212312311211131122
    2112132113311213211231232112311311222112111312211312111312311211232211
    1213211322211312113211

    Notice the repeating patterns that start up in the first and last digits?