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A014402 Numbers found in denominators of expansion of Airy function Ai(x). +0
3
1, 1, 6, 12, 180, 504, 12960, 45360, 1710720, 7076160, 359251200, 1698278400, 109930867200, 580811212800, 46170964224000, 268334780313600, 25486372251648000, 161000868188160000, 17891433320656896000 (list; graph; listen)
OFFSET

0,3

COMMENT

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

LINKS

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^(2/3)*Gamma(2/3)) - x/(3^(1/3)*Gamma(1/3)) + x^3/(6*3^(2/3)*Gamma(2/3)) - x^4/(12*3^(1/3)*Gamma(1/3) + x^6/(180*3^(2/3)*Gamma(2/3) - x^7/(504*3^(1/3)*Gamma(1/3) + x^9/(12960*3^(2/3)*Gamma(2/3) - ...

MATHEMATICA

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

CROSSREFS

Cf. A014403, A060507.

Adjacent sequences: A014399 A014400 A014401 this_sequence A014403 A014404 A014405

Sequence in context: A102062 A070020 A002922 this_sequence A051784 A097174 A032511

KEYWORD

nonn

AUTHOR

njas

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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