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A144083 Triangle read by rows, partial sums from the right an A010892 subsequences decrescendo triangle 1
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Construct an A010892 decrescendo 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 * A332292 A054350 A026606

Adjacent sequences:  A144080 A144081 A144082 * A144084 A144085 A144086

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 10 2008

STATUS

approved

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Last modified May 12 07:28 EDT 2021. Contains 343821 sequences. (Running on oeis4.)