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Search: id:A046991
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| A046991 |
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Denominators of Taylor series for log(1/cos(x)). Also from log(cos(x)). |
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+0
3
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| 1, 2, 12, 45, 2520, 14175, 935550, 42567525, 10216206000, 97692469875, 18561569276250, 2143861251406875, 34806217964017500, 48076088562799171875, 9086380738369043484375, 3952575621190533915703125, 3920955016221009644377500000, 68739242628124575327993046875
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 88.
CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 42.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for Bernoulli numbers B(2n)
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FORMULA
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A046990(n)/a(n)= 2^(2n-1) *(2^(2n) -1) *abs(B(2n)) / ((2n)! *n)
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EXAMPLE
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log(1/cos(x)) = 1/2*x^2+1/12*x^4+1/45*x^6+17/2520*x^8+31/14175*x^10+...
log(cos(x)) = -(1/2*x^2+1/12*x^4+1/45*x^6+17/2520*x^8+31/14175*x^10+...).
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CROSSREFS
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Cf. A046990, A046990, B(2n)= A027641(2n) / A027642(2n)
Sequence in context: A009074 A066258 A123771 this_sequence A061990 A006742 A003993
Adjacent sequences: A046988 A046989 A046990 this_sequence A046992 A046993 A046994
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KEYWORD
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nonn,easy,frac,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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