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Search: id:A066188
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| A066188 |
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Sum of the second moments of all partitions of n. |
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+0
1
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| 0, 1, 6, 22, 58, 141, 289, 579, 1054, 1885, 3161, 5280, 8371, 13220, 20183, 30605, 45178, 66448, 95546, 136877, 192759, 270146, 373387, 514187, 699429, 947846, 1272067, 1700456, 2254007, 2977623
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The first element of each partition is given weight 0.
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EXAMPLE
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a(3)=6 because the second moments of all partitions of 3 are {3}.{0},{2,1}.{0,1} and {1,1,1}.{0,1,4}, resulting in 0,1,5; summing to 6.
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MATHEMATICA
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Table[ Plus@@Map[ #.Range[ 0, -1+Length[ # ] ]^2&, Partitions[ n ] ], {n, 30} ]
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CROSSREFS
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Adjacent sequences: A066185 A066186 A066187 this_sequence A066189 A066190 A066191
Sequence in context: A034134 A081441 A127760 this_sequence A071239 A105450 A011888
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KEYWORD
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easy,nonn
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), Dec 15 2001
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