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A093730
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Antidiagonal sums of triangle A093729, which enumerates the number of nodes in the tree of tournament sequences.
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1
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1, 1, 2, 5, 18, 102, 949, 14731, 386060, 17323052, 1351157580, 185867701560, 45682244004244, 20283964291276804, 16423005586691362832, 24434416299840231799694, 67236458264587977465709983
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Related to A008934 (the number of tournament sequences).
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LINKS
| M. Cook and M. Kleber, Tournament sequences and Meeussen sequences, Electronic J. Comb. 7 (2000), #R44.
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PROG
| (PARI) {T(n, k)=if(n<0, 0, if(n==0, 1, if(k==0, 0, if(k<=n, T(n, k-1)-T(n-1, k)+T(n-1, 2*k-1)+T(n-1, 2*k), sum(j=1, n+1, (-1)^(j-1)*binomial(n+1, j)*T(n, k-j))))))} a(n)=sum(k=0, n, T(n-k, k))
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CROSSREFS
| Cf. A008934, A093729.
Sequence in context: A075634 A007127 A005639 * A007769 A174122 A005805
Adjacent sequences: A093727 A093728 A093729 * A093731 A093732 A093733
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 14 2004
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