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Search: id:A110165
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| A110165 |
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Riordan array (1/sqrt(1-6x+5x^2),(1-3x-sqrt(1-6x+5x^2))/(2x). |
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+0 4
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| 1, 3, 1, 11, 6, 1, 45, 30, 9, 1, 195, 144, 58, 12, 1, 873, 685, 330, 95, 15, 1, 3989, 3258, 1770, 630, 141, 18, 1, 18483, 15533, 9198, 3801, 1071, 196, 21, 1, 86515, 74280, 46928, 21672, 7210, 1680, 260, 24, 1, 408105, 356283, 236736, 119154, 44982, 12510
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Columns include A026375,A026376,A026377. Inverse is A110168. Rows sums are A110166. Diagonal sums are A110167.
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FORMULA
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Number triangle T(n, k)=sum{j=0..n, C(n, j)C(2j, j+k)}
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EXAMPLE
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Rows begin
1;
3,1;
11,6,1;
45,30,9,1;
195,144,58,12,1;
873,685,330,95,15,1;
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CROSSREFS
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Sequence in context: A027516 A092808 A113955 this_sequence A111965 A110440 A135574
Adjacent sequences: A110162 A110163 A110164 this_sequence A110166 A110167 A110168
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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), Jul 14 2005
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