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A130725
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Irregular array where n-th row (of {binomial(n/floor(n/2)) - floor((n+1)/2)} terms) contains the positive integers (in order) which are < the greatest term of the n-th row of Pascal's triangle and which are not among the terms of the n-th row of Pascal's triangle.
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0
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2, 2, 3, 5, 2, 3, 4, 6, 7, 8, 9, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The 5th row of Pascal's triangle is (1,5,10,10,5,1). The positive integers which are < than the greatest term (10) of this row and which are missing from this row are (2,3,4,6,7,8,9).
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MAPLE
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for n from 0 to 8 do brow := [seq( binomial(n, k), k=0..n)] : for k from 1 to binomial(n, floor(n/2)) do if not k in brow then printf("%d, ", k) ; fi ; od: od: # R. J. Mathar, Sep 02 2007
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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