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OEIS A000175: Zeros of Bessel Functions and the Rayleigh Polynomials

Author
Mike Breault
Published
Wed 26 Mar 2025
Episode Link
None

In this Deep Dive, we unpack OEIS A000175—the sequence of constant terms in the Rayleigh polynomials, which arise from the power-series of spherical Bessel functions. We trace how the zeros of Bessel functions of half-integer order connect to these constants, why the indexing starts at n = 3, and the historical note that it was once M200790. Join us for a compact tour of how a small integer sequence bridges differential equations, physics, and the language of the OEIS.


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