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A115381
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Correlation triangle for Fredholm-Rueppel sequence A036987.
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0
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1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 3, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Row sums are A115367. T(2n,n) is partial sums of squares of A036987(n).
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FORMULA
| G.f.: A(x)A(x*y)/(1-x^2*y) where A(x)=sum{k>=0, x^(2^k-1)}. Number triangle T(n, k)=sum{j=0..n, if(j<=k, A036987(k-j), 0)*if(j<=(n-k), A036987(n-k-j), 0)}
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EXAMPLE
| Triangle begins
1,
1, 1,
0, 2, 0,
1, 1, 1, 1,
0, 1, 2, 1, 0,
0, 1, 1, 1, 1, 0,
0, 0, 1, 3, 1, 0, 0,
1, 0, 1, 1, 1, 1, 0, 1,
0, 1, 0, 1, 3, 1, 0, 1, 0,
0, 1, 0, 1, 1, 1, 1, 0, 1, 0,
0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0,
0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0,
0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0,
0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0,
0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 0, 0, 0, 0,
1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1,
0, 1, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 0, 0, 0, 1, 0
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CROSSREFS
| Sequence in context: A142724 A174656 A178798 * A115382 A112202 A126205
Adjacent sequences: A115378 A115379 A115380 * A115382 A115383 A115384
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 21 2006
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