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A101603
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Riordan array (1/(1-x^2),x(1+x)/(1-x)).
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2
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1, 0, 1, 1, 2, 1, 0, 3, 4, 1, 1, 4, 9, 6, 1, 0, 5, 16, 19, 8, 1, 1, 6, 25, 44, 33, 10, 1, 0, 7, 36, 85, 96, 51, 12, 1, 1, 8, 49, 146, 225, 180, 73, 14, 1, 0, 9, 64, 231, 456, 501, 304, 99, 16, 1, 1, 10, 81, 344, 833, 1182, 985, 476, 129, 18, 1, 0, 11, 100, 489, 1408, 2471, 2668
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Row sums are A097076(n+1). Diagonal sums are abs(A077902).
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FORMULA
| Number triangle whose columns are generated by x^k*(1+x)^(k-1)/(1-x)^(k+1)
Number triangle T(n, k)=sum{j=0..n-k, C(k-1, j)C(n-j, n-k-j)};
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EXAMPLE
| Rows start
1;
0,1;
1,2,1;
0,3,4,1;
1,4,9,6,1;
0,5,16,19,8,1;
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CROSSREFS
| Cf. A119328 (row-reversed).
Sequence in context: A128908 A155112 A188286 * A124030 A166040 A106378
Adjacent sequences: A101600 A101601 A101602 * A101604 A101605 A101606
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Dec 08 2004
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