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A112424
Number of connected simple graphs with n vertices, n+4 edges, and vertex degrees no more than 4.
7
0, 0, 0, 0, 1, 8, 59, 427, 2768, 16461, 90111, 460699, 2222549, 10216607, 45076266, 192059940, 794088479, 3198709835, 12593964702, 48596474890, 184195614359, 687087962550, 2526421534903
OFFSET
1,6
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 5 on page 103.
PROG
(nauty/bash)
for n in {5..15}; do geng -c -D4 ${n} $((n+4)):$((n+4)) -u; done # Andrey Zabolotskiy, Nov 24 2017
CROSSREFS
The analogs for n+k edges with k = -1, 0, ..., 7 are: A000602, A036671, A112410, A112619, A112408, this sequence, A112425, A112426, A112442. Cf. A121941.
Sequence in context: A002538 A263503 A343089 * A190977 A254662 A186362
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Dec 21 2005
EXTENSIONS
Corrected offset and new name from Andrey Zabolotskiy, Nov 24 2017
a(16)-a(23) added by Georg Grasegger, Jun 05 2023
STATUS
approved