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Search: id:A120084
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| A120084 |
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Numerators of expansion for Debye function for n=2: D(2,x). |
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+0
2
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| 1, -1, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -691, 0, 1, 0, -3617, 0, 43867, 0, -174611, 0, 77683, 0, -236364091, 0, 657931, 0, -3392780147, 0, 1723168255201, 0, -7709321041217, 0, 151628697551, 0, -26315271553053477373
(list; graph; listen)
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OFFSET
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0,13
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COMMENT
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Denominators are found under A120085.
This sequence appears to coincide with A120082.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, December 1972, pp. 998, equ. 27.1.1 for n=1, with a factor (x^2)/2 extracted.
W. Lang: Rationals r(n).
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FORMULA
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a(n)=numerator(r(n)), with r(n):=[x^n](1 - 2*x/(2*(2+1)) + sum((B(2*k)/((k+1)*(2*k)!))*x^(2*k), 0,..infinity)), |x|<2*pi. B(2*k):=A000367(k)/A002445(k) (Bernoulli numbers).
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EXAMPLE
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Rationals r(n): [1, -1/3, 1/24, 0, -1/2160, 0, 1/120960, 0,
-1/6048000, 0, 1/287400960,...].
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CROSSREFS
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Adjacent sequences: A120081 A120082 A120083 this_sequence A120085 A120086 A120087
Sequence in context: A115177 A060054 A120082 this_sequence A141588 A141590 A046968
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KEYWORD
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sign,frac
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 20 2006
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