cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A014403 Numbers found in denominators of expansion of Airy function Bi(x).

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%I A014403 #14 Jul 08 2025 05:38:33
%S A014403 1,1,6,4,180,168,12960,15120,1710720,2358720,359251200,566092800,
%T A014403 109930867200,193603737600,46170964224000,89444926771200,
%U A014403 25486372251648000,53666956062720000
%N A014403 Numbers found in denominators of expansion of Airy function Bi(x).
%C A014403 Although the description is technically correct, this sequence is unsatisfactory because there are gaps in the series.
%H A014403 NIST's Digital Library of Mathematical Functions, <a href="https://dlmf.nist.gov/9.4">Airy and Related Functions (Maclaurin Series)</a> by Frank W. J. Olver.
%e A014403 Mathematica gives the series as 1/(3^(1/6)*Gamma(2/3)) + 3^(1/6)*x/Gamma(1/3) + x^3/(6*3^(1/6)*Gamma(2/3)) + x^4/(4*3^(5/6)*Gamma(1/3)) + x^6/(180*3^(1/6)*Gamma(2/3)) + x^7/(168*3^(5/6)*Gamma(1/3)) + x^9/(12960*3^(1/6)*Gamma(2/3)) + ...
%t A014403 Series[ AiryBi[ x ], {x, 0, 30} ]
%Y A014403 Cf. A014402.
%K A014403 nonn
%O A014403 0,3
%A A014403 _N. J. A. Sloane_