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 A331434 #18 Mar 23 2022 04:30:43
%S A331434 30,-180,630,-1680,3780,-7560,13860,-23760,38610,-60060,90090,-131040,
%T A331434 185640,-257040,348840,-465120,610470,-790020,1009470,-1275120,
%U A331434 1593900,-1973400,2421900,-2948400,3562650,-4275180,5097330,-6041280,7120080,-8347680,9738960
%N A331434 Column 2 of triangle in A331431.
%C A331434 Apart from the signs, essentially the same as A054559. - _Georg Fischer_, Jan 18 2020
%H A331434 G. C. Greubel, <a href="/A331434/b331434.txt">Table of n, a(n) for n = 0..1000</a>
%H A331434 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (-6,-15,-20,-15,-6,-1).
%F A331434 G.f.: 30/(1+x)^6. - _Georg Fischer_, Jan 18 2020
%F A331434 From _G. C. Greubel_, Mar 22 2022: (Start)
%F A331434 a(n) = 30*(-1)^n*binomial(n+5, 5).
%F A331434 a(n) = 30*(-1)^n*A000389(n+5).
%F A331434 E.g.f.: (1/4)*(120 - 600*x + 600*x^2 - 200*x^3 + 25*x^4 - x^5)*exp(-x). (End)
%t A331434 CoefficientList[Series[30/(1+x)^6, {x, 0, 30}], x] (* _Georg Fischer_, Jan 18 2020 *)
%o A331434 (Magma) [30*(-1)^n*Binomial(n+5, 5): n in [0..50]]; // _G. C. Greubel_, Mar 22 2022
%o A331434 (Sage) [30*(-1)^n*binomial(n+5, 5) for n in (0..50)] # _G. C. Greubel_, Mar 22 2022
%Y A331434 Cf. A000389, A054559, A331431.
%K A331434 sign,easy
%O A331434 0,1
%A A331434 _N. J. A. Sloane_, Jan 17 2020
%E A331434 a(0) changed to 30, and more terms from _Georg Fischer_, Jan 18 2020