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Search: id:A014402
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| A014402 |
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Numbers found in denominators of expansion of Airy function Ai(x). |
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+0
3
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| 1, 1, 6, 12, 180, 504, 12960, 45360, 1710720, 7076160, 359251200, 1698278400, 109930867200, 580811212800, 46170964224000, 268334780313600, 25486372251648000, 161000868188160000, 17891433320656896000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Although the description is technically correct, this sequence is unsatisfactory because there are gaps in the series.
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LINKS
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NIST's Digital Library of Mathematical Functions, Airy and Related Functions (Maclaurin Series) by Frank W. J. Olver.
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EXAMPLE
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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) - ...
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MATHEMATICA
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Series[ AiryAi[ x ], {x, 0, 30} ]
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CROSSREFS
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Cf. A014403, A060507.
Sequence in context: A156432 A070020 A002922 this_sequence A051784 A158046 A097174
Adjacent sequences: A014399 A014400 A014401 this_sequence A014403 A014404 A014405
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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