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Search: id:A115382
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| A115382 |
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Correlation triangle for Thue-Morse sequence A010060(n+1). |
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+0
3
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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, 1, 0, 1, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 3, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 3, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 4, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums are A115383. T(2n,n) gives A115384(n+1).
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FORMULA
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G.f.: A(x)A(x*y)/(1-x^2*y) where A(x) is the g.f. of A010060(n+1). Number triangle T(n, k)=sum{j=0..n, if(j<=k, A010060(k-j+1), 0)*if(j<=(n-k), A010060(n-k-j+1), 0)}.
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EXAMPLE
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Triangle begins
1,
1, 1,
0, 2, 0,
1, 1, 1, 1,
0, 1, 2, 1, 0,
0, 1, 1, 1, 1, 0,
1, 0, 1, 3, 1, 0, 1,
1, 1, 1, 1, 1, 1, 1, 1,
0, 2, 0, 1, 3, 1, 0, 2, 0,
0, 1, 1, 2, 1, 1, 2, 1, 1, 0,
1, 0, 2, 1, 1, 3, 1, 1, 2, 0, 1,
0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0,
1, 1, 0, 2, 1, 1, 4, 1, 1, 2, 0, 1, 1,
1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1,
0, 2, 1, 0, 2, 1, 1, 5, 1, 1, 2, 0, 1, 2, 0,
1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1,
0, 1, 2, 2, 0, 2, 2, 1, 5, 1, 2, 2, 0, 2, 2, 1, 0
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CROSSREFS
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Sequence in context: A075446 A142724 A115381 this_sequence A112202 A126205 A025913
Adjacent sequences: A115379 A115380 A115381 this_sequence A115383 A115384 A115385
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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), Jan 21 2006
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