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A115296
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Skew version of correlation triangle for constant sequence 1.
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0
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1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 3, 2, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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COMMENTS
| Row sums are A001399. Diagonal sums are A025795.
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FORMULA
| G.f.: 1/((1-x*y)*(1-x^2*y)*(1-x^3*y^2)); Number triangle T(n, k)=sum{j=0..k, [j<=n-k]*[j<=2k-n]}; T(n, k)=A003983(k, n-k).
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EXAMPLE
| Triangle begins
1;
0,1;
0,1,1;
0,0,2,1;
0,0,1,2,1;
0,0,0,2,2,1;
0,0,0,1,3,2,1;
0,0,0,0,2,3,2,1;
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CROSSREFS
| Sequence in context: A051777 A107628 A152815 * A059048 A164116 A164118
Adjacent sequences: A115293 A115294 A115295 * A115297 A115298 A115299
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 19 2006
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