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 A259395 #13 Jul 07 2025 19:36:33
%S A259395 0,0,15228,705024,1885680,-66355200,-792382500,-4986842112,
%T A259395 -22516232256,-81696522240,-252908835300,-693126720000,-1723987588752,
%U A259395 -3961019252736,-8517765880260,-17315965900800,-33541737120000,-62298041352192,-111515651966916,-193198552634880
%N A259395 a(n) = -3*n^2*(n-1)^4*(n+1)*(11*n^3+49*n^2-439*n+171).
%H A259395 M. P. Delest, <a href="http://dx.doi.org/10.1016/0097-3165(88)90071-4">Generating functions for column-convex polyominoes</a>, J. Combin. Theory Ser. A 48 (1988), no. 1, pp. 12-31. See expression D in Theorem 16 page 29.
%H A259395 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F A259395 G.f.: 324*x^2*(47+1659*x - 15531*x^2 - 156895*x^3 - 216255*x^4 - 17547*x^5 + 31451*x^6 + 3471*x^7) / (1-x)^11.
%F A259395 a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11).
%p A259395 A259395:=n->-3*n^2*(n-1)^4*(n+1)*(11*n^3+49*n^2-439*n+171): seq(A259395(n), n=0..25); # _Wesley Ivan Hurt_, Jun 29 2015
%t A259395 Table[-3 n^2 (n - 1)^4 (n + 1) (11 n^3 + 49 n^2 - 439 n + 171), {n, 0, 23}]
%t A259395 LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{0,0,15228,705024,1885680,-66355200,-792382500,-4986842112,-22516232256,-81696522240,-252908835300},20] (* _Harvey P. Dale_, Jul 07 2025 *)
%o A259395 (Magma) [-3*n^2*(n-1)^4*(n+1)*(11*n^3+49*n^2-439*n+171): n in [0..20]];
%Y A259395 Cf. A001105, A005435, A259364.
%K A259395 sign,easy
%O A259395 0,3
%A A259395 _Vincenzo Librandi_, Jun 26 2015