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A144024 Eigentriangle by rows, T(n,k) = A005614(n-k+1)*A144023(k-1) +0
2
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; listen)
OFFSET

1,10

COMMENT

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.

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

A005614, Cf. A144023

Sequence in context: A036850 A113206 A158800 this_sequence A075107 A095408 A133008

Adjacent sequences: A144021 A144022 A144023 this_sequence A144025 A144026 A144027

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 07 2008

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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