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A362923 G.f. = (3*x^4+5*x^2+6*x-7)/(4*x^7+x^4+x^2+x-1). 2

%I #14 Nov 14 2023 03:27:15

%S 7,1,3,4,11,16,30,78,123,229,398,749,1334,2432,4476,8149,14875,27048,

%T 49395,89928,163926,298806,544723,992957,1809798,3299141,6013374,

%U 10961176,19979572,36418781,66383555,121002704,220562395,402037376,732828030,1335786398,2434851947,4438209941

%N G.f. = (3*x^4+5*x^2+6*x-7)/(4*x^7+x^4+x^2+x-1).

%H Paolo Xausa, <a href="/A362923/b362923.txt">Table of n, a(n) for n = 0..1000</a>

%H Robert Dougherty-Bliss and Doron Zeilberger, <a href="https://arxiv.org/abs/2307.16069v1">Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes</a>, arXiv:2307.16069 [math.NT], 2023.

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,0,1,0,0,4).

%F a(n) = a(n-1) + a(n-2) + a(n-4) + 4*a(n-7) for n > 6. - _Chai Wah Wu_, Aug 05 2023

%t LinearRecurrence[{1,1,0,1,0,0,4},{7,1,3,4,11,16,30},50] (* _Paolo Xausa_, Nov 14 2023 *)

%Y Suggested by A364701.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Aug 05 2023

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Last modified May 21 13:19 EDT 2024. Contains 372736 sequences. (Running on oeis4.)