A360867
Number of unlabeled connected loopless multigraphs with n edges and degree >= 3 at each node.
Original entry on oeis.org
0, 0, 1, 1, 2, 6, 12, 32, 92, 273, 869, 2989, 10722, 40599
Offset: 1
A289988
Number of unlabeled connected loopless multigraphs with n nodes of degree n or less.
Original entry on oeis.org
1, 1, 2, 4, 37, 602, 34126, 6021463, 3616906549, 7361925161868, 51324462383008758, 1240420936122453106498, 105141919479926837860474091, 31581183353539008502807807352728
Offset: 0
A307317
Number of unlabeled connected leafless loopless multigraphs with n edges.
Original entry on oeis.org
1, 0, 1, 2, 4, 9, 26, 68, 217, 718, 2553, 9574, 38005, 157306, 679682, 3047699, 14150278, 67844305, 335262807, 1704500229, 8902528600, 47704608478, 261960998230, 1472618327415, 8466681788462, 49743177379613, 298407523833717, 1826531247381194, 11399711132242500, 72500116125222893, 469578870456459042
Offset: 0
For n=3 the multigraphs (as sets of edges) are {(0,1),(0,1),(0,1)} and {(0,1),(0,2),(1,2)}.
A076865
Inverse Euler transform of 1, 1, 3, 8, 23, ... (A050535).
Original entry on oeis.org
1, 0, 2, 5, 15, 40, 136, 429, 1544, 5686, 22265, 90714, 386298, 1705828, 7806446, 36899178, 179843447, 902128265, 4650549252, 24604524692, 133442382601, 741107102344, 4210787843737, 24454774814641, 145056183186691, 878136807089527
Offset: 0
A076866
Euler transform of 1, 1, 3, 8, 23, ... (A050535).
Original entry on oeis.org
1, 2, 5, 14, 40, 121, 383, 1255, 4298, 15340, 57061, 221205, 893281, 3752361, 16375447, 74113910, 347258809, 1681355627, 8397528329, 43191571794, 228416030275, 1240264188677, 6905550017714, 39379283772943, 229752403826530
Offset: 0
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