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Search: id:A002741
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| A002741 |
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Logarithmic numbers: expansion of -ln(1 - x) e^{-x}.
(Formerly M0037 N0010)
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+0
3
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| 0, 1, -1, 2, 0, 9, 35, 230, 1624, 13209, 120287, 1214674, 13469896, 162744945, 2128047987, 29943053062, 451123462672, 7245940789073, 123604151490591, 2231697509543362
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for sequences related to logarithmic numbers
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FORMULA
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E.g.f.: -ln(1-x)/e^x. a(n)=(n-2)*a(n-1)+(n-1)*a(n-2)-(-1)^n, n>0.
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PROGRAM
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(PARI) a(n)=if(n<0, 0, sum(k=0, n-1, (-1)^k*binomial(n, k)*(n-k-1)!))
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CROSSREFS
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A000757(n)=(-1)^n+A002741(n).
Sequence in context: A083864 A154937 A037996 this_sequence A151887 A070681 A061189
Adjacent sequences: A002738 A002739 A002740 this_sequence A002742 A002743 A002744
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KEYWORD
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sign,easy,nice
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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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More terms from J. O. Shallit.
Additional comments from Michael Somos, Jun 21, 2002
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