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Search: id:A060567
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| A060567 |
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Number of binomial coefficients C[n,j] with j=0...n that are divisible by C[n,2]. |
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+0
1
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| 3, 2, 1, 2, 2, 2, 4, 2, 2, 6, 5, 4, 10, 4, 2, 8, 10, 6, 12, 4, 6, 18, 10, 4, 14, 14, 6, 10, 23, 20, 22, 10, 18, 22, 10, 18, 34, 26, 15, 18, 24, 14, 32, 14, 10, 42, 28, 12, 28, 18, 12, 32, 34, 14, 25, 26, 42, 54, 30, 14, 58, 42, 22, 24, 28, 36, 60, 38, 20, 34, 44, 26, 70, 42, 20, 42
(list; graph; listen)
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OFFSET
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2,1
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FORMULA
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a(n)=Cardinality{j|Mod[C(n, j), C(n, 2)]=0, j=0..n}; For n=1 Mod[1, 0] does not exist.
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EXAMPLE
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The relevant residues are for n=16: {1, 16, 0, 80, 20, 48, 88, 40, 30, 40, 88, 48, 20, 80, 0, 16, 1}, a(16)=2; n=227: only with 6 nonzero residues: {1, 227, [111 zero], 454, 454, [111 zeros], 227, 1}
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CROSSREFS
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A060430, A014070.
Sequence in context: A079109 A079099 A068929 this_sequence A036583 A047878 A120441
Adjacent sequences: A060564 A060565 A060566 this_sequence A060568 A060569 A060570
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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), Apr 12 2001
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