EPISODE · Jul 10, 2025 · 9 MIN
OEIS A000271: Sums of Ménage Numbers
from Intellectually Curious · host Mike Breault
From the classic round-table ménage problem, we tour the world of integer sequences that sums of ménage numbers unlock. We explain how the circular counts tie to linear seatings, Chevelev’s insight that the circle counts arise as scaled linear counts, and the neat four-term recurrence that builds n from n−1, n−2, and n−3. Along the way we glimpse curtains of graph theory (crown graphs), permanents, and a surprising knot-theory connection, illustrating how a simple seating puzzle reveals a rich web of combinatorial structure.Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.Sponsored by Embersilk LLC
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From the classic round-table ménage problem, we tour the world of integer sequences that sums of ménage numbers unlock. We explain how the circular counts tie to linear seatings, Chevelev’s insight that the circle counts arise as scaled linear counts, and the neat four-term recurrence that builds n from n−1, n−2, and n−3. Along the way we glimpse curtains of graph theory (crown graphs), permanents, and a surprising knot-theory connection, illustrating how a simple seating puzzle reveals a ric...
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OEIS A000271: Sums of Ménage Numbers
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