OEIS A000176: Generalized Tangent Numbers, DN2

In this episode we unpack A000176—the Generalized Tangent Numbers (DN2). We trace its Dirichlet-series definition using the Jacobi symbol and show how the even-values L_{2n} tie to D_{2n}. We then explore the surprising connection to alternating permutations and Euler zigzag numbers via André’s theorem, and discuss what, if anything, D_{2n} counts combinatorially. If you enjoy seeing how analytic number theory and combinatorics intersect, this one’s for you.

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