Search: id:A048745
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%I A048745
%S A048745 1,5,14,36,89,217,526,1272,3073,7421,17918,43260,104441,252145,608734,
%T A048745 1469616,3547969,8565557,20679086,49923732,120526553,290976841,
%U A048745 702480238
%N A048745 Partial sums of A048654.
%F A048745 a(n)=2*a(n-1)+a(n-2)+3; a(0)=1, a(1)=5.
%F A048745 a(n)=[ {(4+(5/2)*sqrt(2))(1+sqrt(2))^n - (4-(5/2)*sqrt(2))(1-sqrt(2))^n}/ 
               2*sqrt(2) ]-3/2.
%F A048745 G.f.: (1+2*x)/(1-3*x+x^2+x^3). - Paul D. Hanna (pauldhanna(AT)juno.com), 
               Feb 22 2005
%F A048745 a(n)=3*a(n-1)-a(n-2)-a(n-3), n>2 ; a(0)=1, a(1)=5, a(2)=14 . [From Philippe 
               DELEHAM (kolotoko(AT)wanadoo.fr), Dec 16 2008]
%o A048745 (PARI) a(n)=polcoeff((1+2*x)/(1-3*x+x^2+x^3)+x*O(x^n),n) (Hanna)
%Y A048745 Cf. A005409.
%Y A048745 Sequence in context: A142585 A097507 A052951 this_sequence A127980 A054486 
               A072130
%Y A048745 Adjacent sequences: A048742 A048743 A048744 this_sequence A048746 A048747 
               A048748
%K A048745 easy,nonn
%O A048745 0,2
%A A048745 Barry E. Williams

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