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A050396
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Exponential reversion of rooted trees A000081.
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2
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1, -1, 1, 1, -14, 64, -97, -1376, 15915, -68820, -467868, 11504693, -85105325, -490922106, 21504158897, -242026388646, -848338391966, 80509815160192, -1351044945506956, 1506218518200935, 472249651021870475, -11783220545826576339, 78093421491085905492
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,5
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..100
N. J. A. Sloane, Transforms
Index entries for reversions of series
Index entries for sequences related to rooted trees
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MATHEMATICA
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a[n:0|1] := n; a[n_] := a[n] = Sum[m a[m] a[n-k*m], {m, n-1}, {k, (n-1)/m}]/(n-1); length = 20; Range[length]! InverseSeries[Sum[a[n] x^n/n!, {n, 0, length}] + O[x]^(length+1)][[3]] (* Vladimir Reshetnikov, Nov 06 2015 *)
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CROSSREFS
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Cf. A050395.
Sequence in context: A239856 A214483 A275179 * A069964 A275127 A074354
Adjacent sequences: A050393 A050394 A050395 * A050397 A050398 A050399
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KEYWORD
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sign
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AUTHOR
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Christian G. Bower, Nov 15 1999
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STATUS
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approved
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