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Search: id:A066184
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| A066184 |
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Sum of the first moments of all partitions of n. |
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+0
2
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| 1, 5, 13, 32, 61, 123, 208, 367, 590, 957, 1459, 2266, 3328, 4938, 7097, 10205, 14299, 20100, 27626, 38023, 51485, 69600, 92882, 123863, 163235, 214798, 280141, 364530, 470660, 606557, 776233, 991370, 1258827, 1594741, 2010142, 2528445
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The first element of each partition is given weight 1.
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FORMULA
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a(n) = 1/2*(A066183(n) + A066186(n)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 23 2003
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EXAMPLE
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a(3)=13 because the first moments of all partitions of 3 are {3}.{1},{2,1}.{1,2} and {1,1,1}.{1,2,3}, resulting in 3,4,6; summing to 13.
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MATHEMATICA
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(* First do <<DiscreteMath`Combinatorica` *) Table[ Plus@@ Map[ #.Range[ Length[ # ] ]&, Partitions[ n ] ], {n, 40} ]
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CROSSREFS
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Cf. A066185.
Sequence in context: A062403 A066688 A046789 this_sequence A146924 A001981 A141025
Adjacent sequences: A066181 A066182 A066183 this_sequence A066185 A066186 A066187
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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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