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A007003
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Euler transform of numbers of preferential arrangements.
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1
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1, 2, 5, 19, 97, 658, 5458, 53628, 606871, 7766312, 110811174, 1743359979, 29972475254, 558940415943, 11235765584497, 242168565186139, 5570683131749362, 136215122718876230, 3527978807819506487, 96480528944412962039, 2778048842021042988465
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 0..160
N. J. A. Sloane, Transforms
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MAPLE
| with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; local d, j; if n=0 then 1 else add (add (d*p(d), d=divisors(j)) *b(n-j), j=1..n)/n fi end end: f:= proc(n) option remember; local k; if n <=1 then 1 else add (binomial(n, k) *f(n-k), k=1..n) fi end: aa:= etr (k->f(k-1)): a:= n->aa(n+1): seq (a(n), n=0..30); # Alois P. Heinz, Sep 08 2008
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CROSSREFS
| Cf. A000670.
Sequence in context: A188914 A049984 A052866 * A020117 A054687 A076669
Adjacent sequences: A007000 A007001 A007002 * A007004 A007005 A007006
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 08 2008
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