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Search: id:A007003
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| A007003 |
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Euler transform of numbers of preferential arrangements. |
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+0
1
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| 1, 2, 5, 19, 97, 658, 5458, 53628, 606871, 7766312, 110811174, 1743359979, 29972475254, 558940415943, 11235765584497, 242168565186139, 5570683131749362, 136215122718876230, 3527978807819506487
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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N. J. A. Sloane, Transforms
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MAPLE
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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..25); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 08 2008]
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CROSSREFS
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Cf. A000670.
Sequence in context: A020015 A049984 A052866 this_sequence A020117 A054687 A076669
Adjacent sequences: A007000 A007001 A007002 this_sequence A007004 A007005 A007006
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KEYWORD
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nonn
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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 Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 08 2008
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