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 A144083 Triangle read by rows, partial sums from the right an A010892 subsequences decrescendo triangle 1

%I

%S 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,

%T 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,

%U 1,2,2,1,0,0,1,2,2,1

%N Triangle read by rows, partial sums from the right an A010892 subsequences decrescendo triangle

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

%C 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

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

%e First few rows of the triangle =

%e 1;

%e 2, 1;

%e 2, 2, 1;

%e 1, 2, 2, 1;

%e 0, 1, 2, 2, 1;

%e 0, 0, 1, 2, 2, 1;

%e 1, 0, 0, 1, 2, 2, 1;

%e 2, 1, 0, 0, 1, 2, 2, 1;

%e 2, 2, 1, 0, 0, 1, 2, 2, 1;

%e 1, 2, 2, 1, 0, 0, 1, 2, 2, 1;

%e 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1;

%e ...

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

%Y A010892, Cf. A077859

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Sep 10 2008

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Last modified June 15 17:11 EDT 2021. Contains 345049 sequences. (Running on oeis4.)