Search: id:A027620
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%I A027620
%S A027620 9,32,75,144,245,384,567,800,1089,1440,1859,2352,2925,3584,4335,
%T A027620 5184,6137,7200,8379,9680,11109,12672,14375,16224,18225,20384,22707,
%U A027620 25200,27869,30720,33759,36992,40425,44064,47915,51984,56277,60800
%N A027620 n + (n+1)^2 + (n+2)^3.
%C A027620 n>0 such that x^3 + 2*x^2 + n factors over the integers. - James Buddenhagen 
               (jbuddenh(AT)gmail.com), Apr 19 2005
%H A027620 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Enumerative Formulas 
               for Some Functions on Finite Sets</a>
%H A027620 P. De Geest, <a href="http://www.worldofnumbers.com/sumpower.htm">Palindromic 
               Quasi_Under_Squares of the form n+(n+1)^2</a>
%F A027620 a(n)=n^2*(n-2), n>=3 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 24 2006
%p A027620 [seq(n^2*(n-2), n=3..40)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 24 2006
%p A027620 a:=n->sum(sum(binomial(n+1,n), j=2..n),k=0..n): seq(a(n), n=2..40); - 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2007
%t A027620 f[n_]:=n^1+(n+1)^2+(n+2)^3; lst={};Do[AppendTo[lst,f[n]],{n,0,5!}];lst 
               [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 24 2009]
%o A027620 sage: [i+(i+1)^2+(i+2)^3 for i in xrange(0,38)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 03 2008
%o A027620 (Other) sage: [lucas_number1(4,n,n) for n in xrange(3, 41)] # [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]
%Y A027620 Sequence in context: A155098 A063134 A152619 this_sequence A051662 A061913 
               A130444
%Y A027620 Adjacent sequences: A027617 A027618 A027619 this_sequence A027621 A027622 
               A027623
%K A027620 nonn
%O A027620 0,1
%A A027620 Patrick De Geest (pdg(AT)worldofnumbers.com)

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