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.

A097168 Expansion of (1-7x)/((1-x)(1-9x)(1-10x)).

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%I A097168 #9 Dec 31 2023 16:31:33
%S A097168 1,13,151,1693,18571,200473,2137591,22571653,236478211,2461637233,
%T A097168 25488068431,262725949213,2697866876251,27614135219593,
%U A097168 281860550309671,2870078286120373,29164037908416691,295809674509083553
%N A097168 Expansion of (1-7x)/((1-x)(1-9x)(1-10x)).
%C A097168 Partial sums of A097167.
%C A097168 a(n) = A097169(2n+1)/4.
%H A097168 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (20,-109,90).
%F A097168 a(n) = 10*10^n/3 - 9*9^n/4 - 1/12.
%F A097168 a(n) = 20*a(n-1)-109*a(n-2)+90*a(n-3).
%F A097168 a(n) = A097169(2n+1)/4.
%Y A097168 Cf. A097167, A097169.
%K A097168 easy,nonn
%O A097168 0,2
%A A097168 _Paul Barry_, Jul 30 2004