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Search: id:A048686
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| A048686 |
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Number of classes generated by function A007947 when applied to binomial coefficients. |
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+0 1
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| 1, 2, 2, 3, 3, 4, 4, 4, 4, 6, 6, 6, 7, 8, 8, 9, 8, 10, 8, 10, 11, 12, 12, 12, 13, 12, 12, 15, 15, 16, 14, 14, 14, 15, 16, 19, 18, 18, 18, 21, 19, 22, 21, 22, 23, 24, 24, 24, 22, 24, 25, 27, 23, 25, 24, 25, 29, 29, 28, 31, 31, 32, 30, 28, 29, 33, 31, 32, 34, 36, 35, 37, 36, 35, 36
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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[ A007947[ binomial[ n, k ] ], {k, 0, n} ] ] ]
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EXAMPLE
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For n=9 A007947({C(9,k)})={1,3,6,42,42,42,42,6,3,1} 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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A007947.
Sequence in context: A061070 A117695 A074794 this_sequence A090501 A126848 A067085
Adjacent sequences: A048683 A048684 A048685 this_sequence A048687 A048688 A048689
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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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