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 A101552 #9 May 17 2016 16:45:15 %S A101552 0,0,0,0,0,0,1,4,10,20,35,56,84,120,166,228,322,484,785,1352,2396, %T A101552 4248,7405,12592,20856,33728,53524,83912,130956,204968,323665,517356, %U A101552 837206,1368108,2248479,3700648,6077900,9938488,16164330,26154700,42146078 %N A101552 C(n-3,3)+C(n-7,7)+...+C(n-(4*floor((n-4)/4)+3),4*floor((n-4)/4)+3). %H A101552 G. C. Greubel, <a href="/A101552/b101552.txt">Table of n, a(n) for n = 0..1000</a> %H A101552 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1,0,0,0,1). %F A101552 G.f.: x^6/((1-x)^4-x^8). %F A101552 a(n) = sum{k=0..n, if(mod(k+1, 4)=0, C(n-k, k), 0)}. %F A101552 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-8). - _G. C. Greubel_, May 17 2016 %t A101552 CoefficientList[Series[x^6/((1 - x)^4 - x^8) , {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2016 *) %Y A101552 Cf. A024490, A101551. %K A101552 easy,nonn %O A101552 0,8 %A A101552 _Paul Barry_, Dec 06 2004