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A115382 Correlation triangle for Thue-Morse sequence A010060(n+1). 2
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; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Row sums are A115383. T(2n,n) gives A115384(n+1).
LINKS
FORMULA
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)}.
EXAMPLE
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
CROSSREFS
Sequence in context: A233321 A233323 A115381 * A112202 A126205 A025913
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Jan 21 2006
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)