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 A092286 #37 Sep 02 2017 00:15:37
%S A092286 0,6,16,31,52,80,116,161,216,282,360,451,556,676,812,965,1136,1326,
%T A092286 1536,1767,2020,2296,2596,2921,3272,3650,4056,4491,4956,5452,5980,
%U A092286 6541,7136,7766,8432,9135,9876,10656,11476,12337,13240,14186,15176
%N A092286 Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n^3 + 9*n^2 + 26*n)/6.
%C A092286 If X is an n-set and Y a fixed (n-4)-subset of X then a(n-4) is equal to the number of 3-subsets of X intersecting Y. - _Milan Janjic_, Aug 15 2007
%C A092286 For n>=0, A092286(n) is the number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 1. A092286(n) is also the number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = 3n - 1. - _Clark Kimberling_, Mar 20 2012
%H A092286 Guillaume Aupy, Julien Herrmann. <a href="http://dx.doi.org/10.1080%2F10556788.2016.1230612">Periodicity in optimal hierarchical checkpointing schemes for adjoint computations</a>. Optimization Methods and Software, Volume 32, 2017 - Issue 3. <a href="http://people.bordeaux.inria.fr/gaupy/ressources/pub/journals/oms_periodicity.pdf">Preprint</a>
%H A092286 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative Functions</a>
%F A092286 a(n) = A084938(n+3, n) = sum_{k=0..3} A090238(3, k)*binomial(n, k).
%F A092286 From _Gary Detlefs_, Aug 02 2010: (Start)
%F A092286 a(n) = 1/2 * sum_{k=1..n} (k+3)(k+2).
%F A092286 a(n) = 1/6 * n *(n^2 + 9n + 26). (End)
%F A092286 G.f.: x*(6 - 8*x + 3*x^2)/(1-x)^4. - _Colin Barker_, Mar 18 2012
%p A092286 a:=n->(n^3 + 9*n^2 + 26*n)/6: seq(a(n), n=3..45);
%t A092286 q=60;(Transpose[NestList[Accumulate,Range[q],q]]-Range[q])[[4]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 08 2011 *)
%t A092286 Table[(n^3 + 9*n^2 + 26*n)/6, {n, 0, 100}] (* _T. D. Noe_, Apr 12 2011 *)
%Y A092286 Cf. A084938, A090238.
%K A092286 easy,nonn
%O A092286 0,2
%A A092286 _Philippe Deléham_, Jan 30 2004