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A004255
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n(n+1)(n^2 -3n + 6)/8.
(Formerly M2794)
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4
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1, 3, 9, 25, 60, 126, 238, 414, 675, 1045, 1551, 2223, 3094, 4200, 5580, 7276, 9333, 11799, 14725, 18165, 22176, 26818, 32154, 38250, 45175, 53001, 61803, 71659
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
| A004255:=-(1-2*z+4*z**2)/(-1+z)**5; [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| 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]
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CROSSREFS
| Partial sums of A060354. Equals (1/2) A062026.
Sequence in context: A005209 A112522 A005262 * A101357 A065971 A145127
Adjacent sequences: A004252 A004253 A004254 * A004256 A004257 A004258
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KEYWORD
| nonn
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AUTHOR
| Dennis S. Kluk (mathemagician(AT)ameritech.net)
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