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A144083 Triangle read by rows, partial sums from the right an A010892 subsequences descrescendo triangle +0
2
1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = A007859: (1, 3, 5, 6, 6, 6, 7, 9, 11,...).

n-th row = (n+1) terms of an infinitely periodic cycle: (...1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1), shifting to the right one place for the next row

FORMULA

Construct an A010892 descrecendo triangle: (1; 1,1; 0,1,1; -1,0,1,1;...) and take partial sums starting from the right.

EXAMPLE

First few rows of the triangle =

1;

2, 1;

2, 2, 1;

1, 2, 2, 1;

0, 1, 2, 2, 1;

0, 0, 1, 2, 2, 1;

1, 0, 0, 1, 2, 2, 1;

2, 1, 0, 0, 1, 2, 2, 1;

2, 2, 1, 0, 0, 1, 2, 2, 1;

1, 2, 2, 1, 0, 0, 1, 2, 2, 1;

0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1;

...

Row 3 =(1, 2, 2, 1) = partial sums of (-1, 0, 1, 1).

CROSSREFS

A010892, Cf. A077859

Sequence in context: A156257 A097867 A075344 this_sequence A054350 A026606 A161175

Adjacent sequences: A144080 A144081 A144082 this_sequence A144084 A144085 A144086

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 10 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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