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A091467 Table (by antidiagonals) of unlabeled alternating octupi with n black nodes and k white nodes. +0
4
1, 1, 1, 0, 4, 0, 0, 3, 3, 0, 0, 1, 10, 1, 0, 0, 0, 9, 9, 0, 0, 0, 0, 3, 28, 3, 0, 0, 0, 0, 1, 28, 28, 1, 0, 0, 0, 0, 0, 15, 76, 15, 0, 0, 0, 0, 0, 0, 3, 90, 90, 3, 0, 0, 0, 0, 0, 0, 1, 55, 238, 55, 1, 0, 0, 0, 0, 0, 0, 0, 18, 297, 297, 18, 0, 0, 0, 0, 0, 0, 0, 0, 3, 219, 736, 219, 3, 0, 0, 0, 0, 0 (list; table; graph; listen)
OFFSET

1,5

REFERENCES

F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, pg 113 (2.4.41)

FORMULA

G.f.: A(x, y) = Sum_{k>=1} (phi(k)/k)*log((1-x^n*y^n)^2/(1-x^n*y^n*(3+x^n+y^n))).

EXAMPLE

1 1 0 0 0 ...

1 4 3 1 0 ...

0 3 10 9 3 ...

0 1 9 28 28 ...

0 0 3 28 76 ...

CROSSREFS

Main diagonal: A091468. Row sums: A091468. Cf. A091466.

Sequence in context: A123163 A058305 A020808 this_sequence A050443 A036480 A035639

Adjacent sequences: A091464 A091465 A091466 this_sequence A091468 A091469 A091470

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jan 12 2004

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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