Search: id:A027602
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%I A027602
%S A027602 9,36,99,216,405,684,1071,1584,2241,3060,4059,5256,6669,8316,10215,
%T A027602 12384,14841,17604,20691,24120,27909,32076,36639,41616,47025,52884,
%U A027602 59211,66024,73341,81180,89559,98496,108009,118116,128835,140184
%N A027602 n^3 + (n+1)^3 + (n+2)^3.
%C A027602 When n=3, the sum 216 is equal to (n+3)^3 or 6^3. [From Howard Berman 
               (howard_berman(AT)hotmail.com), Nov 07 2008]
%C A027602 Summation of n^3 taken 3 at a time. [From Al Hakanson (hawkuu(AT)gmail.com), 
               May 20 2009]
%H A027602 P. De Geest, <a href="http://www.worldofnumbers.com/sumcube.htm">Palindromic 
               Sums of Cubes of Consecutive Integers</a>
%F A027602 a(n)=9*A006527(n+1). - Lekraj Beedassy (blekraj(AT)yahoo.com), Feb 01 
               2007
%F A027602 a(n)=3*n^3+18*n^2+42*n+36. Offset 0. a(3)=405. [From Al Hakanson (hawkuu(AT)gmail.com), 
               May 20 2009]
%t A027602 a[n_]:=n^3;lst={};Do[AppendTo[lst,(a[n]+a[n+1]+a[n+2])],{n,0,6!}];lst 
               [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 2009]
%o A027602 sage: [i^3+(i+1)^3+(i+2)^3 for i in xrange(0,48)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 03 2008
%Y A027602 Cf. A003215, A000537, A000578, A005898 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Jan 03 2009]
%Y A027602 Sequence in context: A022604 A085630 A133226 this_sequence A134537 A066647 
               A085037
%Y A027602 Adjacent sequences: A027599 A027600 A027601 this_sequence A027603 A027604 
               A027605
%K A027602 nonn
%O A027602 0,1
%A A027602 Patrick De Geest (pdg(AT)worldofnumbers.com)

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