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A046745 Number of connected graphs with <= n edges. 1

%I #19 Jul 16 2022 07:44:30

%S 1,2,5,10,22,52,131,358,1068,3390,11461,40964,153786,603927,2471798,

%T 10509270,46296937,210848414,990794383,4795761825,23875074600,

%U 122086530809,640484152252,3443478138871,18954259427121,106719731914780,614115134054991,3609008134177109

%N Number of connected graphs with <= n edges.

%H Andrew Howroyd, <a href="/A046745/b046745.txt">Table of n, a(n) for n = 1..60</a>

%H G. A. Baker et al., <a href="http://dx.doi.org/10.1103/PhysRev.164.800">High-temperature expansions for the spin-1/2 Heisenberg model</a>, Phys. Rev., 164 (1967), 800-817.

%t A000664 = Cases[Import["https://oeis.org/A000664/b000664.txt", "Table"], {_, _}][[All, 2]];

%t (* EulerInvTransform is defined in A022562 *)

%t A002905 = EulerInvTransform[Rest@A000664];

%t Accumulate[A002905] (* _Jean-François Alcover_, Jul 16 2022 *)

%Y Partial sums of A002905.

%K nonn,nice

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Vladeta Jovovic_, Apr 10 2001

%E More terms from _Vladeta Jovovic_, Jul 05 2003

%E Terms a(25) and beyond added by _Andrew Howroyd_, May 06 2021

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)