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A156667 Triangle read by rows, A156663 * (A001045 * 0^(n-k)) +0
2
1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 4, 0, 2, 0, 5, 0, 4, 0, 6, 0, 11, 8, 0, 4, 0, 10, 0, 21, 0, 8, 0, 12, 0, 22, 0, 43, 16, 0, 8, 0, 20, 0, 42, 0, 85, 0, 16, 0, 24, 0, 44, 0, 86, 0, 171, 32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row sums = A001045 starting with offset 1: (1, 1, 3, 5, 11, 21, 43,...).

As an eigentriangle, row sums = rightmost term of next row.

FORMULA

Triangle read by rows, A156663 * (an infinite lower triangular matrix with A001045 as the main diagonal and the rest zeros).

EXAMPLE

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

0, 2, 0, 3;

4, 0, 2, 0, 5;

0, 4, 0, 6, 0, 11;

8, 0, 4, 0, 10, 0, 21;

0, 8, 0, 12, 0, 22, 0, 43;

16, 0, 8, 0, 20, 0, 42, 0, 85;

0, 16, 0, 24, 0, 44, 0, 86, 0, 171;

32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341;

0, 32, 0, 48, 0, 88, 0, 172, 0, 342, 0, 683;

...

Row 4 = (4, 0, 2, 0, 5) = termwise products of (4, 0, 2, 0, 1) and (1, 1, 1, 3, 5)

CROSSREFS

A156663, A001045

Sequence in context: A084929 A054014 A158945 this_sequence A110914 A127505 A138036

Adjacent sequences: A156664 A156665 A156666 this_sequence A156668 A156669 A156670

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 12 2009

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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