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Search: id:A127471
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| A127471 |
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Triangle, row sums = sigma(n), left column = d(n), right border = phi(n). |
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+0
2
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| 1, 2, 1, 2, 0, 2, 3, 2, 0, 2, 2, 0, 0, 0, 4, 4, 2, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 6, 4, 3, 0, 4, 0, 0, 0, 4, 3, 0, 4, 0, 0, 0, 0, 0, 6, 4, 2, 0, 8, 0, 0, 0, 0, 4
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Left column (1, 2, 2, 3, 2, 4,...) = d(n)A000005; right border (1, 1, 2, 2, 4, 2, 6,...) = phi(n), A000010; row sums, (1, 3, 4, 7, 6, 12,...) = sigma(n), A000203.
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FORMULA
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Inverse Mobius transform of A054522; (A051731 * A054522 as infinite lower triangular matrices).
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
2, 0, 2;
3, 2, 0, 2;
2, 0, 0, 0, 4;
4, 2, 4, 0, 0, 2;
2, 0, 0, 0, 0, 0, 6;
4, 3, 0, 4, 0, 0, 0, 4;
3, 0, 4, 0, 0, 0, 0, 0, 6;
4, 2, 0, 0, 8, 0, 0, 0, 0, 4;
...
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CROSSREFS
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Cf. A054522, A051731, A000005, A000203, A000010.
Sequence in context: A046144 A144736 A137423 this_sequence A071485 A127969 A081733
Adjacent sequences: A127468 A127469 A127470 this_sequence A127472 A127473 A127474
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 15 2007
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