Search: id:A033994
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%I A033994
%S A033994 2,11,32,70,130,217,336,492,690,935,1232,1586,2002,2485,3040,3672,4386,
%T A033994 5187,6080,7070,8162,9361,10672,12100,13650,15327,17136,19082,21170,
%U A033994 23405,25792,28336,31042,33915,36960,40182,43586,47177,50960,54940
%N A033994 Partial sums of A005476.
%D A033994 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pp. 194-196.
%F A033994 a(n)=n(n+1)(5n+1)/6.
%F A033994 G.f.: (2*x+3*x^2)/(1-x)^4.
%F A033994 a(n) = A132121(n,1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Aug 12 2007
%p A033994 seq(add((k^2-n^2+(n+k)^2)/2,k=1..n),n=1..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Dec 01 2006
%p A033994 with(finance):seq(add(cashflows([n*k,k^2,0],0 ), k=0..n), n=1..45);# 
               [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]
%t A033994 f[n_]:=5*n+2; s1=s2=0;lst={};Do[a=f[n];s1+=a;s2+=s1;AppendTo[lst,s2],
               {n,0,6!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 
               25 2009]
%o A033994 (PARI) a(n)=n*(n+1)*(5*n+1)/6
%Y A033994 Cf. A005476 and A016873.
%Y A033994 Cf. A000330, A132124, A132112, A050409.
%Y A033994 Sequence in context: A092761 A087933 A000755 this_sequence A023659 A094792 
               A031400
%Y A033994 Adjacent sequences: A033991 A033992 A033993 this_sequence A033995 A033996 
               A033997
%K A033994 easy,nonn
%O A033994 1,1
%A A033994 Barry E. Williams, Dec 16 1999
%E A033994 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 19 2000

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