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A112743
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An aerated Delannoy triangle.
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0
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1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 1, 0, 5, 0, 1, 0, 5, 0, 7, 0, 1, 1, 0, 13, 0, 9, 0, 1, 0, 7, 0, 25, 0, 11, 0, 1, 1, 0, 25, 0, 41, 0, 13, 0, 1, 0, 9, 0, 63, 0, 61, 0, 15, 0, 1, 1, 0, 41, 0, 129, 0, 85, 0, 17, 0, 1, 0, 11, 0, 129, 0, 231, 0, 113, 0, 19, 0, 1, 1, 0, 61, 0, 321, 0, 377, 0, 145, 0, 21, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are Tribonacci numbers A000073. Diagonal sums are aerated Pell numbers.
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FORMULA
| Riordan array (1/(1-x^2), x(1+x^2)/(1-x^2)); Number triangle T(n, k)=if(k<=n, sum{j=0..k, (1+(-1)^(n-k))C(k, j)C((n-k)/2, j)2^j/2}, 0).
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EXAMPLE
| Rows begin
1;
0,1;
1,0,1;
0,3,0,1;
1,0,5,0,1;
0,5,0,7,0,1;
1,0,13,0,9,0,1;
0,7,0,25,0,11,0,1;
1,0,25,0,41,0,13,0,1;
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CROSSREFS
| Cf. A008288.
Sequence in context: A188832 A094675 A200472 * A119467 A166353 A110235
Adjacent sequences: A112740 A112741 A112742 * A112744 A112745 A112746
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 17 2005
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