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A167948
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Triangle read by rows, A101688 * (an infinite lower triangular matrix with A002083 as the main diagonal and the rest zeros).
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1
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1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 3, 0, 0, 0, 2, 3, 6, 0, 0, 0, 2, 3, 6, 11, 0, 0, 0, 0, 3, 6, 11, 22, 0, 0, 0, 0, 3, 6, 11, 22, 42, 0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 165, 0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330
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OFFSET
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1,10
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COMMENTS
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Row sums = A002083(n+1): (1, 1, 2, 3, 6, 11, 22, 42, 84, 165,...).
Sum of n-th row terms = rightmost term of next row.
Eigensequence of triangle A101688 = A002083 starting with offset 1: (1, 1, 2, 3, 6, 11, 22, 42,...).
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LINKS
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FORMULA
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Equals M * Q, where M = triangle A101688, Q = an infinite lower triangular matrix with (1, 1, 1, 2, 3, 6, 11, 22, 42,...) as the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle:
1;
0, 1;
0, 1, 1;
0, 0, 1, 2;
0, 0, 1, 2, 3;
0, 0, 0, 2, 3, 6;
0, 0, 0, 2, 3, 6, 11;
0, 0, 0, 0, 3, 6, 11, 22;
0, 0, 0, 0, 3, 6, 11, 22, 42;
0, 0, 0, 0, 0, 6, 11, 22, 42, 84;
0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 165;
0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330;
0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330, 654;
0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308;
0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308, 2605;
...
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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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