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A168261
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Triangle read by rows, A115361 * the diagonalized variant of A018819.
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1
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1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 1, 1, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 4, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20
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OFFSET
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1,6
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COMMENTS
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Row sums = A018819 starting with offset 1; (1, 2, 2, 4, 4, 6, 6, 10, 10,...).
Equals the eigensequence of triangle A115361.
Sum of n-th row terms = rightmost term of next row.
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LINKS
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FORMULA
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Equals M*Q as infinite lower triangular matrices, where M = triangle A115361, and Q = the diagonalized variant of A018819 such that (1, 1, 2, 2, 4, 4, 6, 6,...) = rightmost diagonal with the rest zeros.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
0, 0, 2;
1, 1, 0, 2;
0, 0, 0, 0, 4;
0, 0, 2, 0, 0, 4;
0, 0, 0, 0, 0 0, 6;
1, 1, 0, 2, 0, 0, 0, 6;
0, 0, 0, 0, 0, 0, 0, 0, 10;
0, 0, 0, 0, 4, 0, 0, 0, 0, 10;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14;
0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 14;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20;
0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 20;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26;
1, 1, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 26;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36;
...
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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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