Search: id:A036659
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%I A036659
%S A036659 2,14,45,104,200,342,539,800,1134,1550,2057,2664,3380,4214,5175,6272,
%T A036659 7514,8910,10469,12200,14112,16214,18515,21024,23750,26702,29889,33320,
%U A036659 37004,40950,45167,49664,54450,59534,64925,70632,76664
%N A036659 Product of n with sum of next n consecutive integers.
%F A036659 a(n) = 2 +( 3*n*n +10*n +11 )*n/2. - frank.ellermann(AT)t-online.de, 
               Mar 16 2002
%F A036659 a(n) = n^2(3n + 1)/2 - Ronnie B Kon (ronniekon(AT)yahoo.com), Jun 09 
               2006
%F A036659 a(n)=sum(sum(n+k, j=1..n),k=1..n), n>=1 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               May 11 2007
%e A036659 n=3 -> 3*(4+5+6)=45
%p A036659 seq(add((n^2-k^2+(n+k)^2)/2,k=1..n),n=0..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Dec 01 2006
%p A036659 a:=n->sum((n+j)*n, j=1..n): seq(a(n), n=1..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 29 2007
%p A036659 a:=n->sum(sum(n+k, j=1..n),k=1..n): seq(a(n), n=1..37); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), May 11 2007
%p A036659 a:=n->add(binomial(n,2)+add(n, j=0..n),j=1..n):seq(a(n), n=1..40);# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 27 2008]
%Y A036659 Cf. A036660.
%Y A036659 Sequence in context: A075036 A091405 A085929 this_sequence A079937 A083102 
               A056080
%Y A036659 Adjacent sequences: A036656 A036657 A036658 this_sequence A036660 A036661 
               A036662
%K A036659 nonn
%O A036659 1,1
%A A036659 G. L. Honaker, Jr. (honak3r(AT)gmail.com), Dec 15 1998

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