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A006568
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Denominators of generalized Bernoulli numbers.
(Formerly M3046)
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3
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1, 3, 18, 90, 270, 1134, 5670, 2430, 7290, 133650, 112266, 1990170, 9950850, 2296350, 984150
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OFFSET
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0,2
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COMMENTS
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Triangle A209518 * [1, -1/3, 1/18, 1/90,...] = [1, 0, 0, 0, 0,...]. - Gary W. Adamson, Mar 09 2012.
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REFERENCES
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F. T. Howard, A sequence of numbers related to the exponential function, Duke Math. J., 34 (1967), 599-615.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=0..14.
Hector Blandin and Rafael Diaz, Compositional Bernoulli numbers, Page 7, 2nd table is identical to A006569/A006568.
Abdul Hassen and Hieu D. Nguyen, Hypergeometric Zeta Functions, Sep 27 2005.
Index entries for sequences related to Bernoulli numbers.
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FORMULA
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Given a variant of Pascal's triangle (Cf. A209518) in which the two rightmost diagonals are deleted, invert the triangle and extract the leftmost column. Considered as a sequence, we obtain A006568/A006569: (1, -1/3, 1/18, 1/90,...). - Gary W. Adamson, Mar 09 2012
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EXAMPLE
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a(0), a(1), a(2)... = (1, -1/3, 1/18,...) = leftmost column of the inverse of the 3x3 matrix [1; 1, 3; 1, 4, 6;...].
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CROSSREFS
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Cf. A006569.
Cf. A132092-A132106.
Cf. A209518
Sequence in context: A218924 A037295 A124811 * A181955 A147518 A088336
Adjacent sequences: A006565 A006566 A006567 * A006569 A006570 A006571
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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