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Search: id:A080217
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| A080217 |
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First C(n,j) binomial coefficients are reduced modulo j, j=1,..n (0 is omitted); a(n) is the number of distinct residues in n-th row i.e. when n is fixed and j runs over {1,..,n}. |
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+0
2
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| 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 7, 7, 6, 5, 7, 7, 7, 7, 9, 11, 12, 12, 12, 11, 11, 10, 11, 11, 12, 12, 12, 11, 12, 12, 13, 13, 13, 17, 18, 18, 15, 15, 18, 21, 17, 17, 19, 19, 18, 17, 16, 16, 20, 20, 23, 25, 23, 23, 26, 26, 24, 22, 24, 24, 27, 27, 27, 25, 28, 28, 30, 30, 32, 31, 30
(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)=Card{Union[C(n, j), j], n=1..n}]}
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EXAMPLE
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n=14: {Mod[C[14,j],j],j=1..14}= {0,1,1,1,2,3,2,3,4,1,1,7,1,1,} includes {0,1,2,3,4,7} six different residues so 6=a(14).
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MATHEMATICA
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Table[Length[Union[Table[Mod[Binomial[n, j], j], {j, 1, n}]]], {n, 1, 256}]
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CROSSREFS
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Cf. A007318, A081370, A081371, A080217.
Sequence in context: A052273 A074912 A006643 this_sequence A072376 A131883 A113452
Adjacent sequences: A080214 A080215 A080216 this_sequence A080218 A080219 A080220
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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), Mar 21 2003
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