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 A128063 #11 Sep 08 2019 01:50:52
%S A128063 1,2,0,-8,-16,-32,-64,0,256,512,1024,2048,0,-8192,-16384,-32768,
%T A128063 -65536,0,262144,524288,1048576,2097152,0,-8388608,-16777216,
%U A128063 -33554432,-67108864,0,268435456,536870912,1073741824,2147483648,0,-8589934592,-17179869184
%N A128063 Hankel transform of A115962.
%F A128063 a(n) = 2^n*((1/2 - 3*sqrt(5)/10)*cos(3*Pi*n/5) + sqrt(1/10 - sqrt(5)/50)*sin(3*Pi*n/5) + (3*sqrt(5)/10 + 1/2)*cos(Pi*n/5) - sqrt(sqrt(5)/50 + 1/10)*sin(Pi*n/5));
%F A128063 a(n) = 2^n*Sum_{k=0..floor((n+2)/2)} binomial(n-k+2,k)*(-1)^k*Fibonacci(n-2k+3);
%F A128063 a(n) = 2^n*A099443(n+2).
%F A128063 Empirical g.f.: -(2*x-1)*(4*x^2 + 2*x + 1) / (16*x^4 - 8*x^3 + 4*x^2 - 2*x + 1). - _Colin Barker_, Jun 28 2013
%Y A128063 Cf. A099443, A115962.
%K A128063 easy,sign
%O A128063 0,2
%A A128063 _Paul Barry_, Feb 13 2007