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 A272988 #17 Oct 06 2017 18:30:01 %S A272988 1,0,2,4,19,92,552,3832,30453,272552,2713710,29752156,356133959, %T A272988 4620985700,64600445812,967927029168,15473320537001,262864036323600, %U A272988 4728905854617562,89808092596277364,1795480569403712699,37693097921348983852,829024574048725950016,19063166411687276701736 %N A272988 Convolution of the sequence of derangement numbers A000166 with itself. %H A272988 Vaclav Kotesovec, <a href="/A272988/b272988.txt">Table of n, a(n) for n = 0..440</a> %F A272988 a(n) = Sum_{i=0..n} A000166(i)*A000166(n-i). %F A272988 G.f.: ( 1/(1 + x) + Sum_{k>=1} k^k*x^k/(1 + (k + 1)*x)^(k+1) )^2. - _Ilya Gutkovskiy_, Apr 13 2017 %F A272988 a(n) ~ 2*exp(-1)*n!. - _Vaclav Kotesovec_, Apr 13 2017 %e A272988 For n = 4, we get 1*9 + 0*2 + 1*1 + 2*0 + 9*1 = 19. %t A272988 Table[Sum[Subfactorial[k] Subfactorial[n - k], {k, 0, n}], {n, 0, 30}] (* _Emanuele Munarini_, Oct 06 2017 *) %Y A272988 Cf. A000166. %K A272988 easy,nonn %O A272988 0,3 %A A272988 _J. C. George_, May 12 2016