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Search: id:A133080
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| 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums = A000034: (1, 2, 1, 2, 1, 2,...). A133080 * [1,2,3,...] = A114753: (1, 3, 3, 7, 5, 11, 7, 15,...). Inverse of A133080: sub diagonal changes to (-1, 0, -1, 0, -1,...); main diagonal unchanged. A133080^(-1) * [1,2,3,...] = A093178: (1, 1, 3, 1, 5, 1, 7, 1, 9,...). In A133081, diagonal terms are switched with subdiagonal terms.
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FORMULA
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Infinite lower triangular matrix, (1,1,1...) in the main diagonal and (1,0,1,0,1,...) in the subdiagonal. Odd rows, (n-1) zeros followed by "1". Even rows, (n-2) zeros followed by "1, 1".
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
0, 0, 1;
0, 0, 1, 1;
0, 0, 0, 0, 1;
0, 0, 0, 0, 1, 1;
0, 0, 0, 0, 0, 0, 1;
...
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CROSSREFS
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Cf. A000034, A114753, A093178, A133081.
Adjacent sequences: A133077 A133078 A133079 this_sequence A133081 A133082 A133083
Sequence in context: A128189 A115512 A115513 this_sequence A010815 A080995 A121373
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 08 2007
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