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Search: id:A139147
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 2, 3, 5, 3, 2, 1, 1, 1, 1, 2, 3, 5, 5, 3, 2, 1, 1, 1, 1, 2, 3, 5, 8, 5, 3, 2, 1, 1, 1, 1, 2, 3, 5, 8, 8, 5, 3, 2, 1, 1
(list; table; graph; listen)
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OFFSET
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1,13
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FORMULA
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Replace term A003983(n,k) with F(n).
Triangle T(n,k)=sum{j=0..n, [j<=k]*[j<=n-k]*(F(j+1)-F(j))}. [From Paul Barry (pbarry(AT)wit.ie), Jan 18 2009]
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EXAMPLE
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First few rows of A003983 are [1; 1,1; 1,2,1; 1,2,2,1;...] which become [F(1); F(1),F(1); F(1),F(2),F(1); F(1),F(2),F(2),F(1);...] =
1;
1, 1;
1, 1, 1;
1, 1, 1, 1;
1, 1, 2, 1, 1;
1, 1, 2, 2, 1, 1;
1, 1, 2, 3, 2, 1, 1;
1, 1, 2, 3, 3, 2, 1, 1;
1, 1, 2, 3, 5, 3, 2, 1, 1;
1, 1, 2, 3, 5, 5, 3, 2, 1, 1;
1, 1, 2, 3, 5, 8, 5, 3, 2, 1, 1;
...
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CROSSREFS
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Cf. A134404.
Sequence in context: A163100 A139038 A139040 this_sequence A055801 A155050 A140356
Adjacent sequences: A139144 A139145 A139146 this_sequence A139148 A139149 A139150
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson & Klaus Breyer (qntmpkt(AT)yahoo.com), Apr 10 2008
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