What are Catalan Numbers?

[@MathVerseAnimated]

Some errors have been made when typing equations, which have went unnoticed during the editing process: At 06:04 : The indexation of the sum on the left-hand side should start from -1 instead of 0. At 06:34: The first terms of the expansion of the sqrt(1-4x) are equal to 1-2x+2x² +... instead of 1/x -1+... Apologies for the mistake.

[@rhebucks_zh]

I'm a simple man. I don't understand a word, I click the video

[@monsieurene3366]

Me

[@theiahypatia]

the field is honored to have you as contributors to its content

[@MathVerseAnimated]

And we are honored to receive such a comment like yours!

[@raniakh2006]

Good work guys keep going ! ✨

[@MaxJin-b9r]

Amazing animations guys!

[@piskounov4136]

Outstanding work guys, waiting for more

[@MathVerseAnimated]

@@piskounov4136 Thank you man! 🔥

[@ydjemmada]

👏👏👏👏 Great job visualizing the Catalan numbers! Impressive, keep it up!

[@MathVerseAnimated]

Thank you sir! We really appreciate your feedback

[@Unpug]

Awesome video!!

[@jimbofly6494]

Well explained!

[@cheimatiffrent4761]

Good work 👏👏

[@wadjihrebiai9882]

Great work mates 👏

[@MathVerseAnimated]

Glad you enjoyed it!

[@blueman-z1m]

Amazing video

[@SabaeDeffar]

Good job

[@rihemaka4111]

That's a 10/10 ! Waiting for more 👀

[@MathVerseAnimated]

Better is coming!

[@inosam891]

Excellent travail Bonne continuation 🩵

[@MathVerseAnimated]

Thank you!

[@MahmoudSabeurYahia]

Keep going 🔥

[@jalal6177]

thx

[@ashu95tw]

I think there's a typo at 6:04, where the index should start from -1.

[@ashu95tw]

I found a several more mistakes in the following expansions. Maybe the manuscript should be checked again?

[@MathVerseAnimated]

Thanks for the remark! I probably forgot to change the index and expansion when copying equations in manim. Apologies for this mistake. - Animator.

[@hplusplus9850]

1:22 I thought its related to Catalan people

[@raid42m47]

That was good

[@hiyoujiforoya9580]

Them name alone is really cool😂

[@ZDTF]

Did someone call a catalan master? Professional queen's gambit declined catalan player here

[@pierreabbat6157]

Catalan numbers are not from Barcelona, nor Cuban primes from Havana, nor Jordan curves from Amman.

[@hplusplus9850]

Lol.

[@joshuaiosevich3727]

Oh shit, the Catalan numbers must be related to the number of maximal planar graphs