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A124961
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Triangle read by rows: T(n,k)=mobius(k)*T(n-1,k)+T(n-1,k-1) (1<=k<=n).
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0
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1, 1, 1, 1, 0, 1, 1, 1, -1, 1, 1, 0, 2, -1, 1, 1, 1, -2, 2, -2, 1, 1, 0, 3, -2, 4, -1, 1, 1, 1, -3, 3, -6, 3, -2, 1, 1, 0, 4, -3, 9, -3, 5, -2, 1, 1, 1, -4, 4, -12, 6, -8, 5, -2, 1, 1, 0, 5, -4, 16, -6, 14, -8, 5, -1, 1, 1, 1, -5, 5, -20, 10, -20, 14, -8, 4, -2, 1, 1, 0, 6, -5, 25, -10, 30, -20, 14, -4, 6, -2, 1, 1, 1, -6, 6, -30, 15, -40, 30, -20, 10
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,13
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EXAMPLE
| Triangle starts:
1;
1,1;
1,0,1;
1,1,-1,1;
1,0,2,-1,1;
1,1,-2,2,-2,1;
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MAPLE
| with(numtheory): T:=proc(n, k): if n=1 and k=1 then 1 elif k<1 or k>n then 0 else mobius(k)*T(n-1, k)+T(n-1, k-1) fi end: for n from 1 to 14 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form
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CROSSREFS
| Cf. A008683.
Sequence in context: A053797 A002635 A108244 * A008967 A094189 A122771
Adjacent sequences: A124958 A124959 A124960 * A124962 A124963 A124964
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KEYWORD
| sign,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 13 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 29 2006
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