We explore A00331, the OEIS entry listing the coefficient of nu in the Rayleigh polynomial of even index 2n. From the numbers 5, 14, 1026, 4324 onward, we see a growth that encodes a deep link to the zeros of the Bessel function. We outline how these coefficients are constructed via standard formulas (psi_on and phi_pn) and why this sequence helps connect pure number theory to applied physics through Bessel zeros. We’ll also touch the historical trail—from Sloan’s Handbook to modern references—and point to related sequences like A15861, illustrating how OEIS entries act as bridges between abstract math and real-world wave phenomena.

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