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.

A188538 Row sums of triangle A156070.

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%I A188538 #18 Jun 02 2022 06:08:40
%S A188538 1,2,2,4,6,12,23,46,90,174,330,616,1133,2058,3698,6584,11630,20404,
%T A188538 35587,61750,106666,183522,314642,537744,916441,1557842,2642018,
%U A188538 4471276,7552470,12734364,21436655,36031486,60478458,101380758,169740378,283873144,474246725
%N A188538 Row sums of triangle A156070.
%H A188538 Nathaniel Johnston, <a href="/A188538/b188538.txt">Table of n, a(n) for n = 0..301</a>
%H A188538 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,-2,4,0,-1).
%F A188538 G.f.: -(2*x^4-6*x^3+2*x^2+2*x-1) / ((x-1)^2*(x^2+x-1)^2). - _Colin Barker_, Jul 11 2015
%F A188538 a(n) = n+3 +A264147(n+1) -A000032(n+1). - _R. J. Mathar_, Jun 02 2022
%p A188538 with(combinat):A188538:=proc(n) local m,s;s:=1:for m from 1 to n do s:=s+1+fibonacci(n)-fibonacci(m)-fibonacci(n-m):od;return s;end: # _Nathaniel Johnston_, Apr 03 2011
%o A188538 (PARI) Vec(-(2*x^4-6*x^3+2*x^2+2*x-1)/((x-1)^2*(x^2+x-1)^2) + O(x^50)) \\ _Colin Barker_, Jul 11 2015
%K A188538 nonn,easy
%O A188538 0,2
%A A188538 _N. J. A. Sloane_, Apr 03 2011
%E A188538 Terms after a(10) from _Nathaniel Johnston_, Apr 03 2011