Search: id:A132337
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%I A132337
%S A132337 0,2,5,9,14,20,27,35,44,54,65,77,90,104,119,135,152,170,189,209,230,252,
%T A132337 275,299,324,350,377,405,434,464,495,527,560,594,629,665,702,740,779,
%U A132337 819,860,902,945,989,1034,1080,1127,1175,1224,1274,1325,1377,1430,1484
%N A132337 Sum of the non-sixth powers less than or equal to n.
%F A132337 Let r = floor(n^(1/6)). Then a(n) = n(n+1)/2 - (n^7/7+n^6/2+n^5/2-n^3/
               6+n/42).
%F A132337 a(n)=n+a(n-1) (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 18 2009]
%e A132337 For n=2, a(2)=2+0=2; n=3, a(3)=3+2=5, n=4, a(4)=4+5=9; n=5, a(5)=5+9=14 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 18 2009]
%p A132337 seq(sum(k-1, k=3..n), n=2..55); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 28 2008
%o A132337 (PARI) g6(n)=for(x=1,n,r=floor(x^(1/6));sum6=r^7/7+r^6/2+r^5/2-r^3/6+r/
               42;sn=x* (x+1)/2;print1(sn-sum6","))
%Y A132337 Different from A000096.
%Y A132337 Sequence in context: A132336 A000096 A080956 this_sequence A134189 A109470 
               A112873
%Y A132337 Adjacent sequences: A132334 A132335 A132336 this_sequence A132338 A132339 
               A132340
%K A132337 nonn
%O A132337 1,2
%A A132337 Cino Hilliard (hillcino368(AT)hotmail.com), Nov 07 2007

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