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Number of graphs with n nodes and n+1 edges.
4

%I #25 Jan 09 2024 16:55:45

%S 1,6,24,97,402,1637,6759,28259,119890,517121,2271860,10176660,

%T 46541024,217511951,1039651295,5084972068,25458149446,130480742790,

%U 684550272269,3675258986639,20184618368312,113340974676578,650343587802644

%N Number of graphs with n nodes and n+1 edges.

%D J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 146.

%H Andrew Howroyd, <a href="/A048179/b048179.txt">Table of n, a(n) for n = 4..50</a> (terms 4..37 from Sean A. Irvine)

%H M. L. Stein and P. R. Stein, <a href="http://dx.doi.org/10.2172/4180737">Enumeration of Linear Graphs and Connected Linear Graphs up to p = 18 Points</a>. Report LA-3775, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Oct 1967.

%F a(n) = A008406(n, n+1). - _Andrew Howroyd_, Jan 09 2024

%o (PARI) a(n) = polcoef(G(n, O(x^(n+2))), n+1) \\ G defined in A008406. - _Andrew Howroyd_, Jan 09 2024

%Y Cf. A008406.

%K nonn,easy,nice

%O 4,2

%A _N. J. A. Sloane_

%E More terms from _Vladeta Jovovic_, Jan 07 2000

%E More terms from _Sean A. Irvine_, Jun 06 2017