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1, 0, 2, -1, 1, 3, -1, -2, 1, 4, -1, 0, 0, 1, 5, 0, -3, -3, 0, 1, 6, -1, 0, 0, 0, 0, 1, 7, 0, 0, -1, -4, 0, 0, 1, 8, 0, -1, -3, 0, 0, 0, 0, 1, 9, 0, -2, 0, -1, -5, 0, 0, 0, 1, 10, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 1, 2, -1, -4, -1, -6, 0, 0, 0, 0, 1, 12, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 13, 0, -2
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Moebius transform of A127701.
Row sums = A127705: (1, 2, 3, 2, 5, 1, 7, 4, 6, 3,...)
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EXAMPLE
| First few rows of the triangle are:
1;
0, 2;
-1, 1, 3;
-1, -2, 1, 4;
-1, 0, 0, 1, 5;
0, -3, -3, 0, 1, 6;
-1, 0, 0, 0, 0, 1, 7;
...
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MAPLE
| A054525 := proc(n, k) if n>=1 and 1<=k and k <= n then if n mod k = 0 then numtheory[mobius](n/k) ; else 0 ; fi; else 0 ; fi; end: A127701 := proc(n, k) if n<1 or k<1 or k > n then 0 ; elif n = k then n; elif k+ 1 =n then 1; else 0 ; fi; end: A127704 := proc(n, k) add( A054525(n, i)*A127701(i, k), i=1..n) ; end: for n from 1 to 30 do for k from 1 to n do printf("%d, ", A127704(n, k)) ; od: od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 21 2009]
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CROSSREFS
| Cf. A054525, A127701, A127705.
Sequence in context: A076259 A107359 A112377 * A050873 A128221 A175488
Adjacent sequences: A127701 A127702 A127703 * A127705 A127706 A127707
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KEYWORD
| tabl,easy,sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 24 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 21 2009
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