2178 And All That Part 1

Date: October 10, 2013
Speaker: Neil J. A. Sloane, Rutgers University
Title: 2178 And All That
Abstract:
For integers g greater or equal to 2, k less or equal to 2, call a number N a (g,k)-reverse multiple if the reversal of N in base g is equal to k times N. The numbers 1089 and 2178 are the two smallest (10,k)-reverse multiples, their reversals being 9801 = 9x1089 and 8712 = 4x2178. In 1992, A. L. Young introduced certain trees in order to study the problem of finding all (g,k)-reverse multiples. By using modified versions of her trees, which we call Young graphs, we determine the possible values of k for bases g = 2 through 100, and then show how to apply the transfer-matrix method to enumerate the (g,k)-reverse multiples with a given number of base-g digits. These Young graphs are interesting finite directed graphs, whose structure is not at all well understood. The talk will mention William The Conquerer, G. H. Hardy, The Unabomber, Lara Pudwell, and others.

[@daleholshue3719]

2178 had to click it.. whats up my errant family ...

[@StevoRicho]

Just came up in my feed 🤯 ,hi to all the errants ❤❤

[@Bambabah]

The Archaix Paradox 😀

[@Lukagoouky]

Yeah was gonna say I can't be the only one here. Did anyone send this to jason

[@nirvanamovement8818]

Exactly, super interesting…

[@kimjones7908]

Showed up on my home page.

[@seanwiedman3335]

👍

[@robertporter7808]

showed up on my homepage tooo.... fascinating

[@paladinrpg]

If a truth is visible somewhere, it must be true everywhere.

[@FlatEarther319]

2178? There's a tater in them onions!!

[@j13more38]

EPIC WORK .... JASON BRESHEIRS FROM ARCHAIX SPEAKS OF THIS TOO ... INTERESTING CONCEPTS THAT HAVE TRUTH N FACTS MAKES YA REALIZE THIS MAY BE A MISSING LINK OF SOME SORT ...HHMMMM TIME WILL TELL IM SURE ... STAY SAFE N STAY BLESSED YALL

[@SS-ty4el]

Archaix rocks!!!

[@RachelSeattleWA]

This just came up in my feed! Hello Archaix family 🩷

[@Ya_Love]

just showed-up on my feed, too.
I noticed that Jason left a comment under the second part of this video-sequence two weeks ago already.
WOW! How interesting that this shows-up in people's feed that watch a lot of Jason's videos. Algorithm? 😉

[@bradhamilton432]

Same!🙌🕺

[@j13more38]

Interesting ... Great mind do think alike

[@globetardnation]

Hola 👋 🎉😂 crazy eh

[@lidiejennifer6645]

idem apparu aujourd'hui dans mon fil d'actualité. et je regarde la chaine de Jason. je trouve cela bizarre.

[@errantprotocol8044]

2178 is the non-ending loop. Much love to all errants.

[@Kma060582]

lol archaix people found this….

[@wolf2164]

The end of the beginning, ARCHAIX 2106

[@Kma060582]

Euler….euler……euler

[@BrianVandrian]

I think the storage for this stream is coming from some underground bunker in Syria... stop and go... stop and go...

[@rachelkeefer5030]

Yep 👍🏻

[@benjaminhildebrand2220]

The algorithm

[@Bd-ox4mi]

End of the world