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.

A023553 Convolution of integers >= 3 and Lucas numbers.

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%I A023553 #15 Dec 07 2023 11:41:05
%S A023553 3,13,29,58,106,186,317,531,879,1444,2360,3844,6247,10137,16433,26622,
%T A023553 43110,69790,112961,182815,295843,478728,774644,1253448,2028171,
%U A023553 3281701,5309957,8591746
%N A023553 Convolution of integers >= 3 and Lucas numbers.
%F A023553 G.f.: (x*(3 + 4*x - 4*x^2))/((1 - x - x^2)*(1-x)^2). - _Ralf Stephan_, Apr 28 2004
%F A023553 a(n) = a(n-1) + a(n-2) + 3*n + 4. - _Christian Krause_, Dec 07 2023
%t A023553 Flatten[Table[ListConvolve[Range[3,n+2],LucasL[Range[n]]],{n,30}]] (* _Harvey P. Dale_, Sep 25 2015 *)
%Y A023553 Cf. A000204 (Lucas numbers).
%K A023553 nonn
%O A023553 1,1
%A A023553 _Clark Kimberling_