Revision History for A049056
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#23 by Susanna Cuyler at Sun Oct 08 17:39:41 EDT 2017
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#22 by Michel Marcus at Sun Oct 08 17:38:58 EDT 2017
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#21 by Michel Marcus at Sun Oct 08 17:38:54 EDT 2017
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| REFERENCES
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R. J. Clarke, Covering a set by subsets, Discrete Math., 81 (1990), 147-152.
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| LINKS
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R. J. Clarke, <a href="http://dx.doi.org/10.1016/0012-365X(90)90146-9">Covering a set by subsets</a>, Discrete Math., 81 (1990), 147-152.
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proposed
editing
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#20 by Jon E. Schoenfield at Sun Oct 08 15:54:46 EDT 2017
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#19 by Jon E. Schoenfield at Sun Oct 08 15:54:43 EDT 2017
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| FORMULA
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E.g.f.: Sum((_{n>=0} (exp(x)-1)^n*exp(x*(2^n-n-1)), n=0..infinity), cf. A046165. - Vladeta Jovovic, Sep 01 2005
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| MATHEMATICA
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a[0] = 1; a[n_] := Sum[ (-1)^i*Binomial[k, i]*(2^k-1-i)^n, {k, 0, n}, {i, 0, k} ]; Table[a[n], {n, 0, 15}] (* Jean-François Alcover, Jan 27 2012, after _Michael Somos *)_ *)
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| STATUS
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approved
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#18 by Alois P. Heinz at Thu Jun 27 10:22:57 EDT 2013
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#17 by Alois P. Heinz at Thu Jun 27 10:22:54 EDT 2013
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| MATHEMATICA
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a[0] = 1; a[n_] := Sum[ (-1)^i*Binomial[k, i]*(2^k-1-i)^n, {k, 0, n}, {i, 0, k} ]; Table[a[n], {n, 0, 15}] (* From }] (* _Jean-François Alcover, _, Jan 27 2012, after Michael Somos *)
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| PROG
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(PARI) {a(n)=sum(k=0, n, sum(i=0, k, (-1)^i*binomial(k, i)*(2^k-1-i)^n))} /* ))} /* _Michael Somos _, Oct 16 2006 */
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| AUTHOR
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_N. J. A. Sloane_, _, _Michael Somos_
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| STATUS
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approved
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#16 by Charles R Greathouse IV at Fri May 10 12:44:13 EDT 2013
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| FORMULA
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E.g.f.: Sum((exp(x)-1)^n*exp(x*(2^n-n-1)), n=0..infinity), cf. A046165. - . - _Vladeta Jovovic (vladeta(AT)eunet.rs), _, Sep 01 2005
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Discussion
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| Fri May 10
| 12:44
| OEIS Server: https://oeis.org/edit/global/1911
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#15 by Russ Cox at Fri Mar 30 16:48:32 EDT 2012
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| AUTHOR
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_N. J. A. Sloane (njas(AT)research.att.com), _, Michael Somos
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Discussion
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| Fri Mar 30
| 16:48
| OEIS Server: https://oeis.org/edit/global/110
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#14 by T. D. Noe at Fri Jan 27 12:26:01 EST 2012
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