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Search: id:A002744
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| A002744 |
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Sum of logarithmic numbers.
(Formerly M4682 N2001)
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+0
1
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| 1, 0, 1, 10, -17, 406, -1437, 20476, -44907, 1068404, -5112483, 230851094, -1942311373, 31916614874, -27260241361, 3826126294680, -37957167335671, 2169009251237640, -25847377785179111, 858747698098918338, -5611513985867158697, 154094365406716365118
(list; graph; listen)
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OFFSET
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1,4
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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).
J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83.
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LINKS
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Index entries for sequences related to logarithmic numbers
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FORMULA
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a(n) = Sum_{k=1..n} (-1)^(n-k)*A000005(k)*(k-1)!*binomial(n, k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 09 2003
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CROSSREFS
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Cf. A002746.
Sequence in context: A043159 A043939 A058621 this_sequence A156382 A084487 A055567
Adjacent sequences: A002741 A002742 A002743 this_sequence A002745 A002746 A002747
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Corrected and extended by J. O. Shallit.
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 09 2003
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