A130725 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.

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

Offset

1,1

Links

Table of n, a(n) for n=1..81.

Example

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).

Maple

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

Crossrefs

Sequence in context: A058256 A140183 A280408 * A256015 A138117 A175908

Adjacent sequences: A130722 A130723 A130724 * A130726 A130727 A130728

Keyword

nonn,tabf

Author

Leroy Quet, Jul 04 2007

Extensions

More terms from R. J. Mathar, Sep 02 2007

Status

approved