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 A339029 #11 Feb 01 2024 08:18:43
%S A339029 1,12,52,168,497,1412,3879,10360,27016,69024,173264,428288,1044480,
%T A339029 2516992,6001408,14174208,33191936,77127680,177967104,408027136,
%U A339029 930021376,2108424192,4756275200,10680270848,23880794112,53185871872,118016180224,260969594880,575223627776
%N A339029 Expansion of (1 + 4*x - 20*x^2 + 8*x^3 + 33*x^4 - 4*x^5 - 33*x^6)/(1 - 2*x)^4.
%H A339029 Paolo Xausa, <a href="/A339029/b339029.txt">Table of n, a(n) for n = 0..1000</a>
%H A339029 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16).
%F A339029 a(n) = 2^(n-7)*(588 + 367*n + 84*n^2 + 9*n^3) for n >= 3.
%p A339029 gf := (1 + 4*x - 20*x^2 + 8*x^3 + 33*x^4 - 4*x^5 - 33*x^6)/(1 - 2*x)^4:
%p A339029 ser := series(gf, x, 32): seq(coeff(ser, x, n), n = 0..28);
%t A339029 LinearRecurrence[{8, -24, 32, -16}, {1, 12, 52, 168, 497, 1412, 3879}, 30] (* _Paolo Xausa_, Feb 01 2024 *)
%Y A339029 Cf. A339252 (k=2), A339254 (k=3), A333650.
%K A339029 nonn
%O A339029 0,2
%A A339029 _Peter Luschny_, Dec 01 2020