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Search: id:A114195
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| A114195 |
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Riordan array (1/(1-3x),x(1-x)/(1-3x)^2). |
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+0
3
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| 1, 3, 1, 9, 8, 1, 27, 45, 13, 1, 81, 216, 106, 18, 1, 243, 945, 690, 192, 23, 1, 729, 3888, 3915, 1574, 303, 28, 1, 2187, 15309, 20223, 10941, 2993, 439, 33, 1, 6561, 58320, 97524, 67788, 24598, 5072, 600, 38, 1, 19683, 216513, 446148, 385560, 177498
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A082685. Diagonal sums are A114196.
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FORMULA
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T(n, k)=sum{j=0..n, C(n, j)C(j+k, 2k)2^(j-k)}; T(n, k)=sum{j=0..n-k, C(k, j)C(n+k-j, 2k)(-1)^j*3^(n-k-j)}.
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EXAMPLE
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Triangle begins
1;
3, 1;
9, 8, 1;
27, 45, 13, 1;
81, 216, 106, 18, 1;
243, 945, 690, 192, 23, 1;
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CROSSREFS
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Sequence in context: A019770 A136320 A088640 this_sequence A016601 A078416 A021973
Adjacent sequences: A114192 A114193 A114194 this_sequence A114196 A114197 A114198
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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), Nov 16 2005
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