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A358549
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Triangle read by rows where row n is reversed partial sums of row n of the Sierpinski triangle (A047999).
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0
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1, 2, 1, 2, 1, 1, 4, 3, 2, 1, 2, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 4, 3, 3, 2, 2, 1, 1, 8, 7, 6, 5, 4, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 8, 7, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1
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OFFSET
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0,2
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COMMENTS
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Row reversal of A261363 (which is the main entry).
These sums can be formed by taking A047999 as a lower triangular matrix times an all-1's lower triangular matrix.
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LINKS
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FORMULA
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T(n,k) = Sum_{i=k..n} A047999(n,i).
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EXAMPLE
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Triangle begins:
k=0 1 2 3 4 5 6 7 8
n=0: 1;
n=1: 2, 1;
n=2: 2, 1, 1;
n=3: 4, 3, 2, 1;
n=4: 2, 1, 1, 1, 1;
n=5: 4, 3, 2, 2, 2, 1;
n=6: 4, 3, 3, 2, 2, 1, 1;
n=7: 8, 7, 6, 5, 4, 3, 2, 1;
n=8: 2, 1, 1, 1, 1, 1, 1, 1, 1;
For n=5, row 5 here and row 5 of A047999 are:
row 4, 3, 2, 2, 2, 1
sums of 1, 1, 0, 0, 1, 1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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