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

1, 1, 6, 4, 180, 168, 12960, 15120, 1710720, 2358720, 359251200, 566092800, 109930867200, 193603737600, 46170964224000, 89444926771200, 25486372251648000, 53666956062720000

Offset

0,3

Comments

Although the description is technically correct, this sequence is unsatisfactory because there are gaps in the series.

Links

Table of n, a(n) for n=0..17.

NIST's Digital Library of Mathematical Functions, Airy and Related Functions (Maclaurin Series) by Frank W. J. Olver.

Example

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) + ...

Mathematica

Series[ AiryBi[ x ], {x, 0, 30} ]

Crossrefs

Cf. A014402.

Sequence in context: A266850 A109873 A334806 * A232818 A355767 A077181

Adjacent sequences: A014400 A014401 A014402 * A014404 A014405 A014406

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved