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 A112425 #20 Jun 02 2025 16:32:37
%S A112425 0,0,0,0,1,3,31,298,2616,20346,140605,880737,5082279,27402524,
%T A112425 139587885,677772953,3158930531,14212444473,62009204208,263350765116,
%U A112425 1092085621098,4433596269478
%N A112425 Number of connected simple graphs with n vertices, n+5 edges, and vertex degrees no more than 4.
%H A112425 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 6 on page 103.
%H A112425 Michael A. Kappler, <a href="http://www.daylight.com/meetings/emug04/Kappler/GenSmi.html">GENSMI: Exhaustive Enumeration of Simple Graphs</a>. [gives different a(15)]
%o A112425 (nauty)
%o A112425 for n in {5..13}; do geng -c -D4 ${n} $((n+5)):$((n+5)) -u; done # _Andrey Zabolotskiy_, Nov 24 2017
%Y A112425 The analogs for n+k edges with k = -1, 0, ..., 7 are: A000602, A036671, A112410, A112619, A112408, A112424, this sequence, A112426, A112442. Cf. A121941.
%K A112425 nonn,more
%O A112425 1,6
%A A112425 _Jonathan Vos Post_, Dec 21 2005
%E A112425 Corrected offset and new name from _Andrey Zabolotskiy_, Nov 24 2017
%E A112425 a(15) corrected and a(16)-a(22) added by _Georg Grasegger_, Jun 05 2023