Search: id:A053573
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%I A053573
%S A053573 1,5,39,265,1871,13065,91519,640505,4483791,31386025,219703199,
%T A053573 1537920345,10765446511,75358117385,527506838079
%N A053573 A second order recursive sequence.
%D A053573 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pp. 189, 194-196.
%F A053573 a(n)=[(7^(n+1))-(-2)^(n+1)]/9. a(n)=5a(n-1)+14a(n-2), a(0)=1.
%F A053573 G.f.: 1/(1-5*x-14*x^2). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 24 2009]
%o A053573 (Other) sage: [lucas_number1(n,5,-14) for n in xrange(1, 16)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
%Y A053573 Sequence in context: A064445 A123614 A075135 this_sequence A003482 A135849 
               A105426
%Y A053573 Adjacent sequences: A053570 A053571 A053572 this_sequence A053574 A053575 
               A053576
%K A053573 easy,nonn
%O A053573 0,2
%A A053573 Barry E. Williams, Jan 18 2000

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