Puzzles

[Roxy_Pi-thonsRcool]

I have a puzzle.

Anyone can continue the sequence?

1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212221
3113112221232112111312211312113211
1321132132111213122112311311222113111221131211
…

[madness]

Re post 87867: I saw that one on Numberphile.

[Fun, isn’t it! Harry]

[The-Letter-Wriggler]

 

@Roxy_Pi-thonsRcool You did well to put this up.

This is a nice sequence to figure out how it is generated if you have not encounted it before.
I’ll not say what the sequence is called, you can find out for yourself.

I’ll not give the next line, #14, instead I will give the total addition of all the digits
in it which is 132.

I coded a program to generate the sequence just 3 months or so ago. I wonder, have you?

The series grows rapidly.
The 40th number has 82350 digits that total to 139088

As an exercise:
For you and anyone else can you give the details for just the 20th number?
How many digits, total of the digits and give all the digits if you wish.

[madness]

@TLW, I think you are off by one, or you skipped a line.
The next line (#14) has 62 digits and sum 102.
Line 15 has 78 digits and sum 132.
Line 41 has 82352 digits and sum 139088.
Line 51 is the first with more than a million digits (1166642); its sum is 1970964.

[The-Letter-Wriggler]

@madness thanks for the heads up.
Checked it out and I was indeed one line out of sync
apart from that everything you wrote is what I have.

( 😉 I knew you, if enyone, would be able to do it 🙂 )

PS Have you tried to get the secret message yet in post 87789 ?

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