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A126744 Triangle read by rows: T(n,k) (n>=2, k=0..n-2) gives number of connected graphs on n nodes with clique number n-k. 7
1, 1, 1, 1, 2, 3, 1, 3, 11, 6, 1, 4, 25, 63, 19, 1, 5, 45, 266, 477, 59, 1, 6, 73, 785, 4646, 5339, 267, 1, 7, 109, 1908, 26205, 136935, 94535, 1380, 1, 8, 155, 4085, 110140, 1696407, 7121703, 2774240, 9832 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,5

LINKS

Table of n, a(n) for n=2..46.

Keith M. Briggs, Combinatorial Graph Theory

EXAMPLE

Triangle begins:

n=...1...2...3...4....5....6.....7......8........9........10

k.------------------------------------------------------------

2|...0...1...1...3....6...19....59....267.....1380......9832 = A024607

3|...0...0...1...2...11...63...477...5339....94535...2774240 = A126745

4|...0...0...0...1....3...25...266...4646...136935...7121703 = A126746

5|...0...0...0...0....1....4....45....785....26205...1696407 = A126747

6|...0...0...0...0....0....1.....5.....73.....1908....110140 = A126748

7|...0...0...0...0....0....0.....1......6......109......4085 = A217987

8|...0...0...0...0....0....0.....0......1........7.......155

CROSSREFS

Diagonals give A024607, A126745-A126748, A217987.

Sequence in context: A145080 A065078 A203989 * A122078 A126736 A253257

Adjacent sequences:  A126741 A126742 A126743 * A126745 A126746 A126747

KEYWORD

nonn,tabl,hard,more

AUTHOR

N. J. A. Sloane, Feb 18 2007

STATUS

approved

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Last modified September 20 03:54 EDT 2019. Contains 327210 sequences. (Running on oeis4.)