Search: id:A053524
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%I A053524
%S A053524 0,1,4,28,160,976,5824,35008,209920,1259776,7558144,45349888,272097280,
%T A053524 1632587776,9795518464,58773127168,352638730240,2115832446976,12694994550784,
%U A053524 76169967566848,457019804876800,2742118830309376,16452712979759104
%N A053524 (6^n-(-2)^n)/8.
%D A053524 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see 
               Problem 5.1(b).
%D A053524 A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, 
               pp. 194-196.
%F A053524 E.g.f.: (e^{6x}-e^{-2x))/8.
%F A053524 a(n) = 2^n/8(3^n-(-1)^n). a(n)=4a(n-1)+12a(n-2); a(0)=0, a(1)=1.
%o A053524 (Other) sage: [lucas_number1(n,4,-12) for n in xrange(0, 23)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
%Y A053524 Cf. A015518.
%Y A053524 Sequence in context: A123520 A012847 A128721 this_sequence A125687 A026298 
               A001396
%Y A053524 Adjacent sequences: A053521 A053522 A053523 this_sequence A053525 A053526 
               A053527
%K A053524 nonn,easy
%O A053524 0,3
%A A053524 N. J. A. Sloane (njas(AT)research.att.com), Barry E. Williams, Jan 15 
               2000

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