Search: id:A152297
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%I A152297
%S A152297 1,2,3,2,7,38,117,278,527,718,237,2642,11753,33802,76443,136762,
%T A152297 164833,24478,922077,3565918,9653887,20783558,34867797,35553398,
%U A152297 32125393,306268562
%V A152297 1,2,3,2,-7,-38,-117,-278,-527,-718,-237,2642,11753,33802,76443,136762,
%W A152297 164833,-24478,-922077,-3565918,-9653887,-20783558,-34867797,-35553398,
%X A152297 32125393,306268562
%N A152297 Second binomial transform of A056594 .
%C A152297 Binomial transform of A146559.
%F A152297 a(n)=4*a(n-1)-5*a(n-2), n>1 ; a(0)=1, a(1)=2 . G.f.: (1-2*x)/(1-4*x+5*x^2). 
               a(n)=((2+I)^n+(2-I)^n)/2 . a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*2^(2k-n)*(-1)^(n-k).
%o A152297 (Other) sage: [lucas_number2(n,4,5)/2 for n in xrange(0, 26)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
%Y A152297 Cf. A056594, A146559
%Y A152297 Sequence in context: A048601 A008317 A139011 this_sequence A063708 A096488 
               A011280
%Y A152297 Adjacent sequences: A152294 A152295 A152296 this_sequence A152298 A152299 
               A152300
%K A152297 sign
%O A152297 0,2
%A A152297 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 02 2008

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