I case you ever need it: The Online Encyclopedia of Integer Sequences.

[NNadir]

It's here: The Online Encyclopedia of Integer Sequences.

Here's what they say about themselves (while asking for donations):

...we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

The Wikipedia Page about it: On-Line Encyclopedia of Integer Sequences.

In case you're wondering, I came across it while looking up the nuclear shell "magic numbers" for a talk I'm giving next week.

[NanceGreggs]

1. I'm waiting for the movie. n/t

[2naSalit]

2. +1

[NNadir]

5. I'm sure it will be up for an academy award, unless Fibonacci is played by John Travolta. n/t.

[2naSalit]

3. Kick.

I'll never use it but it is good info for those who would.

Or, merely for those who might be interested.

[Laffy Kat]

4. Somehow, I've made it this far. nt

[old as dirt]

6. the Prouhet-Thue-Morse sequence

I've looked up this sequence on it before.

0, 1, 1, 0, 1, 0, 0, 1, ...

https://oeis.org/search?q=0%2C1%2C1%2C0%2C1%2C0%2C0%2C1&sort=&language=english&go=Search

The Thue-Morse Sequence (with visualizations)

[NNadir]

8. That is a really interesting sequence, of which I was unaware. Thanks!

[old as dirt]

7. Math and OCD - My story with the Thue-Morse sequence