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Search: id:A141846
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| 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8
(list; table; graph; listen)
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OFFSET
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1,10
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COMMENT
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Row sums = A001065: (0, 1, 1, 3, 1, 6, 1, 7, 4, 8,...).
n-th row = (p-1) zeros followed by 1, iff n is prime.
For T(n,k), k divides n if k not = 0.
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FORMULA
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Triangle read by rows, A051731 * A051953^(n-k); where A051953^(n-k) = an infinite lower triangular matrix with A051953 (0, 1, 1, 2, 1, 4, 1, 4, 3, 6, 1, 8,...) in the main diagonal and the rest zeros. A051731 = inverse Mobius transform.
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EXAMPLE
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First few rows of the triangle =
0;
0, 1;
0, 0, 1;
0, 1, 0, 2;
0, 0, 0, 0, 1;
0, 1, 1, 0, 0, 4;
0, 0, 0, 0, 0, 0, 1;
0, 1, 0, 2, 0, 0, 0, 4;
0, 0, 1, 0, 0, 0, 0, 0, 3;
0, 1, 0, 0, 1, 0, 0, 0, 0, 6;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 8;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8;
...
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CROSSREFS
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Cf. A051953, A001065.
Sequence in context: A035187 A033770 A101668 this_sequence A035202 A128616 A101257
Adjacent sequences: A141843 A141844 A141845 this_sequence A141847 A141848 A141849
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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), Jul 11 2008
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