A176890 Triangle T(n,k) read by rows. Signed subsequence of A051731.

-1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0

Offset

1,1

Comments

Let A=A176890*A176890, B=A*A, C=B*B, D=C*C and so on, then the leftmost column in the last matrix converges to the Moebius function A008683.

Links

Table of n, a(n) for n=1..105.

Formula

T(n,k) = if n=1 and k=1 then -1 elseif n=k then 0 elseif k divides n then 1 else 0.

Example

Table begins:
-1,
1,0,
1,0,0,
1,1,0,0,
1,0,0,0,0,
1,1,1,0,0,0,
1,0,0,0,0,0,0,
1,1,0,1,0,0,0,0,
1,0,1,0,0,0,0,0,0,
1,1,0,0,1,0,0,0,0,0,

Prog

(Excel) =if(and(row()=1; column()=1); -1; if(mod(row(); column())=0; 1; 0)-if(and(column()>1; row()=column()); 1; 0))

Crossrefs

Cf. A051731, A008683.

This is A176918 * the diagonalized mu(n).

Sequence in context: A350600 A295896 A176918 * A164057 A140820 A275661

Adjacent sequences: A176887 A176888 A176889 * A176891 A176892 A176893

Keyword

sign,tabl

Author

Mats Granvik and Gary W. Adamson, Apr 28 2010

Status

approved