What Number Comes Next? - Numberphile

Maybe pause the video and see if you can figure these out?
Featuring Neil Sloane of OEIS fame... More links & stuff in full description below, including spoilers ↓↓↓

Extra footage from this video: https://youtu.be/ydn7s9-3GRc

Neil Sloane is the founder of the Online Encyclopedia of Integer Sequences: https://oeis.org

Some OEIS sequences from this video...
http://oeis.org/A249572 (holey numbers)
http://oeis.org/A087409 (sixers)
http://oeis.org/A002904 (think like a Roman)
http://oeis.org/A006933 (Eban)
http://oeis.org/A006567 (Emirps)

Lunar Arithmetic: https://youtu.be/cZkGeR9CWbk
Sloane's gap: https://youtu.be/_YysNM2JoFo

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/

And support from Math For America - https://www.mathforamerica.org/

NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub

Videos by Brady Haran

Patreon: http://www.patreon.com/numberphile

Numberphile T-Shirts: https://teespring.com/stores/numberphile

Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/

Brady's latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9

Correction:
The first table at 1.06 reads
n a(n)
1 1
2 4
3 8
4 48
but it should be
0 1
1 4
2 8
3 48

Thanks Patrons:
Arjun Chakroborty
Jeff Straathof
Susan Silver
Yana Chernobilsky
Christian Cooper
Ken Baron
Bill Shillito
Ben
Turner Lehmbecker
Bernd Sing
Dr Jubal John
Tom Buckingham
Andrei M Burke
Adam Savage
James Bissonette
john buchan
Joshua Davis
Steve Crutchfield
Jon Padden
Valentin-Eugen Dobrota
D Hills
Eric Mumford
Charles Southerland
Arnas
Ian George Walker
Tracy Parry
George Greene
Igor Sokolov
Alfred Wallace
Bodhisattva Debnath

Видео What Number Comes Next? - Numberphile канала Numberphile