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 A098527 #7 Oct 07 2018 15:25:16
%S A098527 1,1,1,2,2,2,2,3,4,5,7,9,11,13,16,20,25,32,41,52,65,81,101,126,158,
%T A098527 199,251,316,397,498,624,782,981,1232,1548,1945,2443,3067,3849,4830,
%U A098527 6062,7610,9555,11998,15065,18914,23744,29806,37416,46971,58969,74034,92948
%N A098527 Expansion (1+x^3)/(1-x-x^7).
%C A098527 The expansion of (1+kx^2)/(1-x-k^2*x^7) satisfies the recurrence a(n)=a(n-1)+k^2*a(n-7),a(0)=1,a(1)=1,a(2)=1,a(3)=k+1,a(4)=k+1, a(5)=k+1,a(6)=k+1 with a(n)=sum{k=0..floor(n/3), binomial(n-3k,floor(k/2))r^k}.
%H A098527 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,1).
%F A098527 a(n)=a(n-1)+a(n-7); a(n)=sum{k=0..floor(n/3), binomial(n-3k, floor(k/2))}.
%t A098527 CoefficientList[Series[(1+x^3)/(1-x-x^7),{x,0,60}],x] (* or *) LinearRecurrence[ {1,0,0,0,0,0,1},{1,1,1,2,2,2,2},60] (* _Harvey P. Dale_, Oct 07 2018 *)
%Y A098527 Cf. A097333, A098523.
%K A098527 easy,nonn
%O A098527 0,4
%A A098527 _Paul Barry_, Sep 12 2004