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A144024 Eigentriangle by rows, T(n,k) = A005614(n-k+1)*A144023(k-1). 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,10
COMMENTS
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.
LINKS
FORMULA
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,...).
EXAMPLE
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.
CROSSREFS
Sequence in context: A236541 A113206 A158800 * A185249 A075107 A269953
KEYWORD
nonn,tabl,more
AUTHOR
Gary W. Adamson, Sep 07 2008
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)