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A091480 Table of multigraphs (by antidiagonals) with n (>=1) nodes and k (>=0) edges. Each type of object labeled from its own label set. 0
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; refs; listen; history; text; internal format)
OFFSET

1,9

REFERENCES

F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 114 (2.4.44).

LINKS

Table of n, a(n) for n=1..61.

FORMULA

a(n, k) = binomial(n, 2)^k.

EXAMPLE

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 ...

CROSSREFS

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: A193357 A112413 A294219 * A034374 A261318 A103879

Adjacent sequences:  A091477 A091478 A091479 * A091481 A091482 A091483

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower, Jan 13 2004

STATUS

approved

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Last modified May 31 16:29 EDT 2020. Contains 334748 sequences. (Running on oeis4.)