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Jun 1, 2023 at 6:18 comment added Tom Copeland The combinatorial import of the inverse series is evident from the combinatorial models for compositional inversion via A133437 and OEIS A134264, e.g., associahedra and noncrossing partitions.
Jun 1, 2023 at 1:59 comment added Tom Copeland The inverse series $y(x) = x-x^k= x(1-x^{k-1})$ is the compositional inverse of the invertible o.g.f. of aerated (k)-Fuss-Catalan sequences with the Catalans corresponding to $k=2$. See, e.g., oeis.org/A001764. Proofs usually simplify using this observation or by resorting to a higher algebra of sets of partition polynomials for which the Fuss-Catalan sequences are 'diagonal' coefficients.
S Jan 26, 2023 at 9:05 history bounty ended Johann Cigler
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Jan 26, 2023 at 9:03 vote accept Johann Cigler
Jan 26, 2023 at 9:03 vote accept Johann Cigler
Jan 26, 2023 at 9:03
Jan 25, 2023 at 17:37 answer added esg timeline score: 3
S Jan 20, 2023 at 12:23 history bounty started Johann Cigler
S Jan 20, 2023 at 12:23 history notice added Johann Cigler Authoritative reference needed
Jan 20, 2023 at 12:22 history edited Johann Cigler CC BY-SA 4.0
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Jan 5, 2023 at 13:47 history edited Johann Cigler CC BY-SA 4.0
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Dec 30, 2022 at 16:27 history edited Sam Hopkins CC BY-SA 4.0
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Dec 30, 2022 at 15:47 history edited Martin Sleziak
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Dec 30, 2022 at 15:42 history asked Johann Cigler CC BY-SA 4.0