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 A143059 #12 Feb 08 2022 22:02:35
%S A143059 1,11,46,121,252,456,751,1156,1691,2377,3236,4291,5566,7086,8877,
%T A143059 10966,13381,16151,19306,22877,26896,31396,36411,41976,48127,54901,
%U A143059 62336,70471,79346,89002,99481
%N A143059 A007318 * [1, 10, 25, 15, 1, 0, 0, 0, ...].
%H A143059 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A143059 Binomial transform of [1, 10, 25, 15, 1, 0, 0, 0, ...] where (1, 10, 25, 15, 1) = row 5 of triangle A008278.
%F A143059 G.f. ( -1-6*x-x^2+9*x^3-2*x^4 ) / (x-1)^5 . - _R. J. Mathar_, Apr 04 2012
%e A143059 a(4) = 121 = (1, 3, 3, 1) dot (1, 10, 25, 15) = (1 + 30 + 75 + 15).
%t A143059 LinearRecurrence[{5,-10,10,-5,1},{1,11,46,121,252},40] (* _Harvey P. Dale_, May 08 2020 *)
%Y A143059 Cf. A008278, A143058.
%K A143059 nonn,easy
%O A143059 0,2
%A A143059 _Gary W. Adamson_, Jul 20 2008