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A112408
Number of connected simple graphs with n vertices, n+3 edges, and vertex degrees no more than 4.
7
0, 0, 0, 0, 2, 14, 79, 430, 2161, 10162, 45282, 192945, 790849, 3138808, 12116550, 45675153, 168661704, 611701138, 2183635232, 7686541342, 26720976964, 91856241351, 312594121721, 1054104924270
OFFSET
1,5
LINKS
J. B. Hendrickson and C. A. Parks, Generation and Enumeration of Carbon skeletons, J. Chem. Inf. Comput. Sci., 31 (1991), 101-107. See Table 2, column 4 on page 103.
PROG
(nauty/bash)
for n in {5..15}; do geng -c -D4 ${n} $((n+3)):$((n+3)) -u; done # Andrey Zabolotskiy, Nov 24 2017
CROSSREFS
The analogs for n+k edges with k = -1, 0, ..., 7 are: A000602, A036671, A112410, A112619, this sequence, A112424, A112425, A112426, A112442. Cf. A121941.
Sequence in context: A133224 A183577 A121200 * A026291 A220867 A216985
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Dec 21 2005
EXTENSIONS
Corrected offset, new name, and a(18) from Andrey Zabolotskiy, Nov 24 2017
a(18)-a(24) added by Georg Grasegger, Jun 05 2023
STATUS
approved