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Search: id:A091480
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| A091480 |
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Table of multigraphs (by antidiagonals) with n (>=1) nodes and k (>=0) edges. Each type of object labeled from its own label set. |
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| 1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 9, 6, 1, 0, 1, 27, 36, 10, 1, 0, 1, 81, 216, 100, 15, 1, 0, 1, 243, 1296, 1000, 225, 21, 1, 0, 1, 729, 7776, 10000, 3375, 441, 28, 1, 0, 1, 2187, 46656, 100000, 50625, 9261, 784, 36, 1, 0, 1, 6561, 279936, 1000000, 759375
(list; table; graph; listen)
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OFFSET
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1,9
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REFERENCES
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F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, pg 114 (2.4.44)
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FORMULA
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a(n, k) = binomial(n, 2)^k.
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EXAMPLE
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1 0 0 0 0 ...
1 1 1 1 1 ...
1 3 9 27 81 ...
1 6 36 216 1296 ...
1 10 100 1000 10000 ...
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CROSSREFS
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Columns 0-8: A000012, A000217(n-1), A000537(n-1), A059827(n-1), A059977(n-1), A059860(n-1), A059978(n-1), A059979(n-1), A059980(n-1).
Rows 1-10: A000007, A000012, A000244, A000400, A011557, A001024, A009965, A009972, A009980, A009989.
Cf. A091478.
Sequence in context: A048993 A112413 A122960 this_sequence A034374 A103879 A051722
Adjacent sequences: A091477 A091478 A091479 this_sequence A091481 A091482 A091483
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KEYWORD
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nonn,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jan 13 2004
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