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 A131528 #21 Feb 26 2025 22:19:14
%S A131528 144,525,5040,76230,882000,6886539,38974320,172650300,633845520,
%T A131528 2008589625,5657204784,14470043490,34161950160,75378387735,
%U A131528 156979350000,310979592504,589757174160,1076298622245,1898430030000,3248190882750,5407743199824,8783474489955
%N A131528 a(n) = (n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)*(n^4 + 4!)/2!.
%C A131528 The values of m = m(k) needed to make the sequence a(n,k) = m (n^1 + 1!) (n^2 + 2!) ... (n^k + k!) / k! (n >= 0) take integral values for all n are given in A049614. - _Peter J. C. Moses_, Aug 29 2007
%H A131528 T. D. Noe, <a href="/A131528/b131528.txt">Table of n, a(n) for n = 0..1000</a>
%H A131528 <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 A131528 G.f.: (-3*(48 + x*(-353 + x*(2395 + x*(8635 + x*(93855 + x*(217437 + x*(213873 + 5*x*(12325 + x*(1441 + 16*x)))))))))) / (x - 1)^11. - _Peter J. C. Moses_, Aug 29 2007
%F A131528 a(n) = 3*A131683(n). - _James C. McMahon_, Feb 26 2025
%t A131528 a[n_]:=(n+1)(n^2+2)(n^3+6)(n^4+24)/2;Table[a[n],{n,0,21}] (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{144, 525, 5040, 76230, 882000, 6886539, 38974320, 172650300, 633845520, 2008589625,5657204784, 14470043490},22] (* _James C. McMahon_, Feb 25 2025 *)
%Y A131528 Cf. A049614, A131683.
%K A131528 nonn,easy
%O A131528 0,1
%A A131528 _Alexander R. Povolotsky_, Aug 25 2007