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A125206 Triangular array T(n,k) (n>=1, 0<=k<=n(n-1)/2) giving the total number of connected components in all subgraphs obtained from the complete labeled graph K_n by removing k edges. +0
5
1, 1, 2, 1, 3, 6, 3, 1, 6, 15, 24, 30, 18, 4, 1, 10, 45, 120, 215, 282, 295, 250, 135, 40, 5, 1, 15, 105, 455, 1365, 3009, 5065, 6705, 7170, 6365, 4800, 3015, 1385, 420, 75, 6, 1, 21, 210, 1330, 5985, 20349, 54271, 116385, 204225, 297115, 362292, 373947, 329945 (list; graph; listen)
OFFSET

1,3

COMMENT

Row-reversed version of A125205, see A125205 for further details

EXAMPLE

The array starts with

1

1, 2

1, 3, 6, 3

1, 6, 15, 24, 30, 18, 4

1, 10, 45, 120, 215, 282, 295, 250, 135, 40, 5

...

CROSSREFS

Cf. A125205 (row-reversed version), A125207 (row sums).

Sequence in context: A106578 A006895 A125205 this_sequence A133904 A094339 A120576

Adjacent sequences: A125203 A125204 A125205 this_sequence A125207 A125208 A125209

KEYWORD

nonn,tabf

AUTHOR

Max Alekseyev (maxal(AT)cs.ucsd.edu), Nov 23 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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