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1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 4, 1, 0, 1, 2, 0, 6, 0, 1, 0, 2, 4, 0, 10, 1, 0, 1, 0, 4, 6, 0, 17, 1, 1, 0, 20, 6, 10, 0, 29, 0, 1, 1, 0, 4, 0, 10, 17, 0, 4, 9, 1, 0, 1, 2, 0, 6, 0, 17, 29, 0, 82
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OFFSET
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1,10
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COMMENTS
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Row sums = A144023, the INVERT transform of the rabbit sequence, A005614.
Left border = A005614.
Sum of n-th row terms = rightmost term of next row.
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LINKS
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Table of n, a(n) for n=1..66.
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FORMULA
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Eigentriangle by rows, T(n,k) = A005614(n-k+1)*A144023(k-1).
A005614 = the rabbit sequence, (1, 0, 1, 1, 0, 1, 0, 1,...)
A144023(k-1) = A144023 shifted to (1, 1, 1, 2, 4, 6, 10, 17, 29,...).
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EXAMPLE
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First few rows of the triangle =
1;
0, 1;
1, 0, 1;
1, 1, 0, 2;
0, 1, 1, 0, 4;
1, 0, 1, 2, 0, 6;
0, 1, 0, 2, 4, 0, 10;
1, 0, 1, 0, 4, 6, 0, 17;
1, 1, 0, 2, 0, 6, 10, 0, 29;
...; Row 4 = (1, 1, 0, 2) = termwise product of (1, 1, 0, 1) and (1, 1, 1, 2); where (1, 1, 0, 1) = the first 4 terms of A005614 reversed. (1, 1, 1, 2) = the first 4 terms of shifted A144023.
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CROSSREFS
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A005614, Cf. A144023
Sequence in context: A036850 A113206 A158800 * A185249 A075107 A178498
Adjacent sequences: A144021 A144022 A144023 * A144025 A144026 A144027
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson, Sep 07 2008
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STATUS
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approved
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