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Search: id:A000750
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| A000750 |
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Expansion of bracket function.
(Formerly M3851 N1576)
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+0
7
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| 1, -5, 15, -35, 70, -125, 200, -275, 275, 0, -1000, 3625, -9500, 21250, -42500, 76875, -124375, 171875, -171875, 0, 621875, -2250000, 5890625, -13171875, 26343750, -47656250, 77109375, -106562500, 106562500, 0
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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It appears that the (unsigned) sequence is identical to its 5th order absolute difference. - John W. Layman (layman(AT)math.vt.edu), Sep 23 2003
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. W. Gould, Binomial coefficients, the bracket function and compositions with relatively prime summands, Fib. Quart. 2 (1964), 241-260.
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FORMULA
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G.f.: 1/((1+x)^5-x^5).
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CROSSREFS
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Cf. A000748, A000749, A001659, A006090, A049016.
Sequence in context: A069983 A005894 A015622 this_sequence A008487 A000743 A138779
Adjacent sequences: A000747 A000748 A000749 this_sequence A000751 A000752 A000753
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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