cp's OEIS Frontend

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.

A213044 Convolution of Fibonacci numbers and positive integers repeated three times (A000045 and A008620).

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%I A213044 #14 Jul 25 2015 10:42:33
%S A213044 1,1,2,5,7,12,22,34,56,94,150,244,399,643,1042,1691,2733,4424,7164,
%T A213044 11588,18752,30348,49100,79448,128557,208005,336562,544577,881139,
%U A213044 1425716,2306866,3732582,6039448,9772042,15811490,25583532,41395035
%N A213044 Convolution of Fibonacci numbers and positive integers repeated three times (A000045  and A008620).
%H A213044 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, 2, -2, -2, -1, 1, 1).
%F A213044 a(n) = a(n-1)+2*a(n-2)-2*a(n-3)-2*a(n-4)-a(n-5)+a(n-6)+a(n-7).
%F A213044 G.f.: 1/((1 - x - x^2)*(1 - x^3)^2).
%t A213044 f[x_] := (1 - x^3)^2; g[x] := 1 - x - x^2;
%t A213044 s = Normal[Series[1/(f[x] g[x]), {x, 0, 60}]]
%t A213044 c = CoefficientList[s, x]  (* A213044 *)
%Y A213044 Cf. A213500.
%K A213044 nonn,easy
%O A213044 0,3
%A A213044 _Clark Kimberling_, Jun 10 2012