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Expansion of (1-7x)/((1-x)(1-9x)(1-10x)).
2

%I #9 Dec 31 2023 16:31:33

%S 1,13,151,1693,18571,200473,2137591,22571653,236478211,2461637233,

%T 25488068431,262725949213,2697866876251,27614135219593,

%U 281860550309671,2870078286120373,29164037908416691,295809674509083553

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

%C Partial sums of A097167.

%C a(n) = A097169(2n+1)/4.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (20,-109,90).

%F a(n) = 10*10^n/3 - 9*9^n/4 - 1/12.

%F a(n) = 20*a(n-1)-109*a(n-2)+90*a(n-3).

%F a(n) = A097169(2n+1)/4.

%Y Cf. A097167, A097169.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jul 30 2004