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Search: id:A048689
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| A048689 |
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Number of classes generated by function A001222 when applied to binomial coefficients. |
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+0
1
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| 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 7, 7, 7, 8, 8, 8, 8, 9, 8, 9, 9, 10, 9, 10, 11, 10, 10, 11, 9, 10, 11, 11, 12, 12, 12, 12, 10, 12, 11, 12, 13, 11, 13, 14, 13, 12, 12, 13, 13, 14, 11, 14, 13, 14, 14, 12, 13, 16, 15, 14, 14, 15, 14, 16, 13, 17, 15, 14, 16
(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[ A001222[ binomial[ n, k ] ], {k, 0, n} ] ] ]
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EXAMPLE
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For n=9 A001222({C(9,k)})={0,2,4,4,4,4,4,4,2,0} includes 3 distinct values so generating 3 classes of k values: {0,9},{1,8} and {2,3,4,5,6,7}. So a(9)=3
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CROSSREFS
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A000005, A001221, A007947, A001222.
Sequence in context: A127240 A097561 A162345 this_sequence A069923 A095840 A131343
Adjacent sequences: A048686 A048687 A048688 this_sequence A048690 A048691 A048692
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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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