In a number sequence of 1, 11, 21, 1112, 3112, 211213, why is the next number 312213?
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$\begingroup$ This is a classic question, follow the link above. $\endgroup$– BlockCommented May 11, 2016 at 15:37
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1$\begingroup$ It's not an exact duplicate, but it is a duplicate of a question that was closed as a duplicate of that one. $\endgroup$– f''Commented May 11, 2016 at 18:22
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$\begingroup$ Go here at $5$:$33$, youtube.com/watch?v=r5P-f5arPXE $\endgroup$– Mr PieCommented May 4, 2018 at 7:08
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1 Answer
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This looks like
A sorted version of the Look-and-Say sequence
In this version
You sort the digits first, then count left to right. So $211213$ sorted is $111223$ which has
$3$ $1$s,
$2$ $2$s and
$1$ $3$ which gives the next number $312213$
answered May 11, 2016 at 15:38