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Search: id:A144157
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| A144157 |
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Eigentriangle, row sums = A011782: (1, 1, 2, 4, 8, 16,...). |
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+0 2
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| 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 2, 0, 8, 5, 3, 2, 2, 4, 0, 16, 8, 5, 3, 4, 4, 8, 0, 32, 13, 8, 5, 6, 8, 8, 16, 0, 64
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OFFSET
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0,10
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COMMENT
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Row sums = A011782: (1, 1, 2, 4, 8, 16,...).
Left border = A144157: (1, 0, 1, 1, 2, 3, 5, 8,...)
Sum of n-th row terms = rightmost term of next row.
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FORMULA
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Triangle read by rows, A * B. A = an infinite lower triangular decrescendo subsequences triangle with A144157: (1, 0, 1, 1, 2, 3, 5, 8,...) in every column; and B = (A011782 * 0^(n-k)), 0<=k<=n = (1; 0,1; 0,0,2; 0,0,0,4; 0,0,0,0,8;...).
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EXAMPLE
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First few rows of the triangle =
1;
0, 1;
1, 0, 1;
1, 1, 0, 2;
2, 1, 1, 0, 4;
3, 2, 1, 2, 0, 8;
5, 3, 2, 2, 4, 0, 16;
8, 5, 3, 4, 4, 8, 0, 32;
13, 8, 5, 6, 8, 8, 16, 0, 64;
... Row 5 = (3, 2, 1, 2, 0, 8) = termwise product of (3, 2, 1, 1, 0, 1) and (1, 1, 1, 2, 4, 8) = (3*1, 2*1, 1*1, 1*2, 0*4, 1*8).
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CROSSREFS
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Sequence in context: A039801 A105821 A004564 this_sequence A004562 A123550 A004578
Adjacent sequences: A144154 A144155 A144156 this_sequence A144158 A144159 A144160
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 12 2008
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