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A084269
Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes having chromatic number k, 1 <= k <= n.
10
1, 0, 1, 0, 1, 1, 0, 3, 2, 1, 0, 5, 12, 3, 1, 0, 17, 64, 26, 4, 1, 0, 44, 475, 282, 46, 5, 1, 0, 182, 5036, 5009, 809, 74, 6, 1, 0, 730, 80947, 149551, 27794, 1940, 110, 7, 1, 0, 4032, 2010328, 7694428, 1890221, 113272, 4125, 156, 8, 1, 0, 25598, 76115143, 667036310, 248580644, 14545025, 389583, 8040, 212, 9, 1
OFFSET
0,8
LINKS
Eric Weisstein's World of Mathematics, n-Chromatic Graph
EXAMPLE
Triangle begins:
1;
0, 1;
0, 1, 1;
0, 3, 2, 1;
0, 5, 12, 3, 1;
0, 17, 64, 26, 4, 1;
0, 44, 475, 282, 46, 5, 1;
0, 182, 5036, 5009, 809, 74, 6, 1;
0, 730, 80947, 149551, 27794, 1940, 110, 7, 1;
...
CROSSREFS
Row sums are A001349.
Columns k=3..7 are A126737, A126738, A126739, A126740, A241702.
Partial row sums include A005142, A076322, A076323, A076324, A076325, A076326, A076327, A076328.
Essentially the same table as A126736.
Cf. A084268 (not necessarily connected), A115597.
Sequence in context: A344348 A179753 A279318 * A051427 A194763 A194741
KEYWORD
nonn,tabl
AUTHOR
Eric W. Weisstein, May 24 2003
EXTENSIONS
a(37)-a(66) from Andrew Howroyd, Dec 02 2018
STATUS
approved