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 A036083 #17 Aug 29 2024 19:34:11
%S A036083 1,15,175,1750,15750,131250,1031250,7734375,55859375,391015625,
%T A036083 2666015625,17773437500,116210937500,747070312500,4731445312500,
%U A036083 29571533203125,182647705078125,1116180419921875,6755828857421875
%N A036083 Expansion of (-1+1/(1-5*x)^5)/(25*x); related to A036071.
%H A036083 W. Lang, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
%H A036083 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (25, -250, 1250, -3125, 3125).
%F A036083 a(n) = 5^(n-1)*binomial(n+5, 4);
%F A036083 g.f. (-1+(1-5*x)^(-5))/(x*5^2).
%t A036083 LinearRecurrence[{25,-250,1250,-3125,3125},{1,15,175,1750,15750},20] (* _Harvey P. Dale_, Aug 29 2024 *)
%o A036083 (Sage)[lucas_number2(n, 5, 0)*binomial(n,4)/5^6 for n in range(5, 24)] # _Zerinvary Lajos_, Mar 13 2009
%Y A036083 Cf. A036070, A036071. a(n)= A030527(n+1, 1) (first column of triangle).
%K A036083 easy,nonn
%O A036083 0,2
%A A036083 _Wolfdieter Lang_