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 A095154 #29 Mar 18 2024 16:46:45
%S A095154 21,2919,155106,6054006,208493607,6791135085,215553311652,
%T A095154 6758354401932,210657488261913,6547648042583571,203236346721890118,
%U A095154 6304217491485837378,195489116558570607339,6061038320388658194777,187905324183802270088904,5825262097993829801550744
%N A095154 Number of 5-block covers of a labeled n-set.
%H A095154 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (57,-1002,6562,-15381,9765).
%F A095154 a(n) = (1/5!)*(274-225*3^n+85*7^n-15*15^n+31^n).
%F A095154 G.f.: -21*x^3*(465*x^2+82*x+1) / ((x-1)*(3*x-1)*(7*x-1)*(15*x-1)*(31*x-1)). - _Colin Barker_, Jul 13 2013
%F A095154 a(n) = Sum_{i=0..n} (-1)^i * C(n,i) * C(2^(n-i)-1,5). - _Geoffrey Critzer_, Aug 24 2014
%F A095154 a(n) = 57*a(n-1)-1002*a(n-2)+6562*a(n-3)-15381*a(n-4)+9765*a(n-5). - _Wesley Ivan Hurt_, Aug 25 2014
%p A095154 A095154:=n->(274-225*3^n+85*7^n-15*15^n+31^n)/120: seq(A095154(n), n=3..20); # _Wesley Ivan Hurt_, Aug 25 2014
%t A095154 nn = 19; Table[Sum[(-1)^i Binomial[n, i] Binomial[2^(n - i) - 1, 5], {i, 0, n}], {n, 3, nn}] (* _Geoffrey Critzer_, Aug 24 2014 *)
%t A095154 Table[(274 - 225*3^n + 85*7^n - 15*15^n + 31^n)/120, {n, 3, 20}] (* _Wesley Ivan Hurt_, Aug 25 2014 *)
%o A095154 (Magma) [(274-225*3^n+85*7^n-15*15^n+31^n)/120 : n in [3..20]]; // _Wesley Ivan Hurt_, Aug 25 2014
%Y A095154 Column of A055154.
%K A095154 easy,nonn
%O A095154 3,1
%A A095154 _Vladeta Jovovic_, May 31 2004
%E A095154 More terms from _Colin Barker_, Jul 13 2013