Search: id:A004255
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%I A004255 M2794
%S A004255 1,3,9,25,60,126,238,414,675,1045,1551,2223,3094,4200,5580,7276,
%T A004255 9333,11799,14725,18165,22176,26818,32154,38250,45175,53001,61803,71659
%N A004255 n(n+1)(n^2 -3n + 6)/8.
%D A004255 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A004255 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A004255 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%p A004255 A004255:=-(1-2*z+4*z**2)/(-1+z)**5; [Conjectured by S. Plouffe in his 
               1992 dissertation.]
%t A004255 lst={};Do[AppendTo[lst, n*(n+1)*(n^2-3*n+6)/8], {n, 0, 5!}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 19 2008]
%Y A004255 Partial sums of A060354. Equals (1/2) A062026.
%Y A004255 Sequence in context: A005209 A112522 A005262 this_sequence A101357 A065971 
               A145127
%Y A004255 Adjacent sequences: A004252 A004253 A004254 this_sequence A004256 A004257 
               A004258
%K A004255 nonn
%O A004255 1,2
%A A004255 Dennis S. Kluk (mathemagician(AT)ameritech.net)

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