A112425 - OEIS

A112425

Number of connected simple graphs with n vertices, n+5 edges, and vertex degrees no more than 4.

0, 0, 0, 0, 1, 3, 31, 298, 2616, 20346, 140605, 880737, 5082279, 27402524, 139587885, 677772953, 3158930531, 14212444473, 62009204208, 263350765116, 1092085621098, 4433596269478

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

LINKS

Table of n, a(n) for n=1..22.

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 6 on page 103.

Michael A. Kappler, GENSMI: Exhaustive Enumeration of Simple Graphs. [gives different a(15)]

PROG

(nauty/bash)

for n in {5..13}; do geng -c -D4 ${n} $((n+5)):$((n+5)) -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, A112424, this sequence, A112426, A112442. Cf. A121941.

Sequence in context: A198964 A212730 A236957 * A144579 A348709 A220997

Adjacent sequences: A112422 A112423 A112424 * A112426 A112427 A112428

KEYWORD

nonn,more

AUTHOR

Jonathan Vos Post, Dec 21 2005

EXTENSIONS

Corrected offset and new name from Andrey Zabolotskiy, Nov 24 2017

a(15) corrected and a(16)-a(22) added by Georg Grasegger, Jun 05 2023

STATUS

approved