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Search: id:A048687
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| A048687 |
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Number of classes generated by function A001221 when applied to binomial coefficients. |
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+0
1
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| 1, 2, 2, 3, 3, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 5, 6, 6, 5, 6, 7, 5, 6, 6, 8, 8, 8, 6, 7, 9, 7, 9, 9, 8, 8, 9, 10, 8, 10, 8, 9, 11, 8, 9, 10, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 11, 13, 11, 12, 12, 12, 13, 13, 12, 14, 13, 14, 12, 14, 13, 13, 13, 13, 13, 12, 15, 15, 14, 16, 14, 16, 14
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = Length[ Union[ Table[ A001221[ binomial[ n, k ] ], {k, 0, n} ] ] ]
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EXAMPLE
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For n=9 A001221({C(9,k)})={0,1,2,3,3,3,3,2,1,0} includes 4 distinct values so generating 4 classes of k values: {0,9},{1,8},{2,7} and {3,4,5,6}. So a(9)=4
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CROSSREFS
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Cf. A001221, A007947.
Sequence in context: A110012 A023514 A039645 this_sequence A115074 A039643 A154258
Adjacent sequences: A048684 A048685 A048686 this_sequence A048688 A048689 A048690
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu)
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