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Search: id:A098157
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| A098157 |
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Triangle T(n,k) with diagonals T(n,n-k)=binomial(n+1,2k). |
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+0
2
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| 1, 1, 1, 0, 3, 1, 0, 1, 6, 1, 0, 0, 5, 10, 1, 0, 0, 1, 15, 15, 1, 0, 0, 0, 7, 35, 21, 1, 0, 0, 0, 1, 28, 70, 28, 1, 0, 0, 0, 0, 9, 84, 126, 36, 1, 0, 0, 0, 0, 1, 45, 210, 210, 45, 1, 0, 0, 0, 0, 0, 11, 165, 462, 330, 55, 1, 0, 0, 0, 0, 0, 1, 66, 495, 924, 495, 66, 1, 0, 0, 0, 0, 0, 0, 13, 286
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums are A000079. Diagonal sums are A062200. Inverse is A065547, less the first column.
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FORMULA
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Triangle T(n, k)=binomial(n+1, 2(n-k)).
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EXAMPLE
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Rows begin {1}, {1,1}, {0,3,1}, {0,1,6,1), {0,0,5,10,1}, {0,0,1,15,15,1},...
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CROSSREFS
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Sequence in context: A121314 A119271 A125104 this_sequence A165253 A059045 A122935
Adjacent sequences: A098154 A098155 A098156 this_sequence A098158 A098159 A098160
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 29 2004
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