%I #14 Aug 15 2019 16:46:46

%S 1,1,2,1,3,6,1,4,15,13,1,5,30,82,37,1,6,51,301,578,106,1,7,80,842,

%T 4985,6021,409,1,8,117,1995,27107,142276,101267,1896,1,9,164,4210,

%U 112225,1724440,7269487,2882460,12171

%N Triangle read by rows formed from nonzero entries in table of number of graphs on n nodes with clique number k.

%H Keith M. Briggs, <a href="http://keithbriggs.info/cgt.html">Combinatorial Graph Theory</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CliqueNumber.html">Clique Number</a>

%F 1+Sum_{k>=2} T(n,k) = A000088(n). - _R. J. Mathar_, May 06 2018

%e Table: number of graphs on n nodes with clique number k

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

%e k ----------------------------------------------------------

%e 2....0...1...2...6...13...37...106....409.....1896....12171 = A052450

%e 3....0...0...1...3...15...82...578...6021...101267..2882460 = A052451

%e 4....0...0...0...1...4....30...301...4985...142276..7269487 = A052452

%e 5....0...0...0...0...1....5.....51....842....27107..1724440 = A077392

%e 6....0...0...0...0...0....1......6.....80.....1995...112225 = A077393

%e 7....0...0...0...0...0....0......1......7......117.....4210 = A077394

%e 8....0...0...0...0...0....0......0......1........8......164 = A205577

%e 9....0...0...0...0...0....0......0......0........1........9 = A205578

%e 10...0...0...0...0...0....0......0......0........0........1.

%Y Cf. A287024, A263341. Partial column sums: A304124, A304125.

%K nonn,tabl

%O 2,3

%A _N. J. A. Sloane_, based on email from _Keith Briggs_, Apr 03 2006