This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A112424 #17 Jun 02 2025 16:24:51 %S A112424 0,0,0,0,1,8,59,427,2768,16461,90111,460699,2222549,10216607,45076266, %T A112424 192059940,794088479,3198709835,12593964702,48596474890,184195614359, %U A112424 687087962550,2526421534903 %N A112424 Number of connected simple graphs with n vertices, n+4 edges, and vertex degrees no more than 4. %H A112424 J. B. Hendrickson and C. A. Parks, <a href="https://doi.org/10.1021/ci00001a018">Generation and Enumeration of Carbon skeletons</a>, J. Chem. Inf. Comput. Sci., 31 (1991), 101-107. See Table 2, column 5 on page 103. %H A112424 Michael A. Kappler, <a href="http://www.daylight.com/meetings/emug04/Kappler/GenSmi.html">GENSMI: Exhaustive Enumeration of Simple Graphs</a>. %o A112424 (nauty) %o A112424 for n in {5..15}; do geng -c -D4 ${n} $((n+4)):$((n+4)) -u; done # _Andrey Zabolotskiy_, Nov 24 2017 %Y A112424 The analogs for n+k edges with k = -1, 0, ..., 7 are: A000602, A036671, A112410, A112619, A112408, this sequence, A112425, A112426, A112442. Cf. A121941. %K A112424 nonn %O A112424 1,6 %A A112424 _Jonathan Vos Post_, Dec 21 2005 %E A112424 Corrected offset and new name from _Andrey Zabolotskiy_, Nov 24 2017 %E A112424 a(16)-a(23) added by _Georg Grasegger_, Jun 05 2023