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A058879 Triangle read by rows: T(n,k) = number of connected graphs with one cycle of length m = n-k+1 and n nodes (n >= 3, 3<=k<=n). +0
1
1, 1, 1, 1, 1, 3, 1, 1, 4, 7, 1, 1, 4, 9, 18, 1, 1, 5, 10, 28, 44, 1, 1, 5, 13, 32, 71, 117, 1, 1, 6, 14, 45, 89, 202, 299 (list; table; graph; listen)
OFFSET

1,6

COMMENT

Diagonals give A000226, A000368. Row sums give A001429.

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 150, Table 9.

F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973, p. 69, (3.4.1).

EXAMPLE

1; 1,1; 1,1,3; 1,1,4,7; 1,1,4,9,18; ...

CROSSREFS

Sequence in context: A131238 A133380 A105687 this_sequence A025255 A016463 A098084

Adjacent sequences: A058876 A058877 A058878 this_sequence A058880 A058881 A058882

KEYWORD

nonn,easy,more,tabl,nice

AUTHOR

njas, Jan 07 2001

EXTENSIONS

More terms from Washington Bomfim (webonfim(AT)bol.com.br), May 12 2008

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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