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OEIS A000346: Catalan Convolution and Dyck-Path Interpretations

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Manage episode 507959536 series 3690682
Content provided by Mike Breault. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Mike Breault or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.
A quick Deep Dive into A000346, defined as the Catalan numbers convolved with powers of 4. We explore its clean closed form, generating function, and the multiple combinatorial faces—Dyck paths, symmetric functions, and integer compositions—and what these connections reveal about growth and recurrence structure.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

  continue reading

1317 episodes

Artwork
iconShare
 
Manage episode 507959536 series 3690682
Content provided by Mike Breault. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Mike Breault or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.
A quick Deep Dive into A000346, defined as the Catalan numbers convolved with powers of 4. We explore its clean closed form, generating function, and the multiple combinatorial faces—Dyck paths, symmetric functions, and integer compositions—and what these connections reveal about growth and recurrence structure.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

  continue reading

1317 episodes

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