A181101 Triangle T(n,k) read by rows. T(1,1)=-1, n>1: If n/k=A020639(n) then 1 else 0.

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

Offset

1,1

Comments

Let A=T(n,k)*T(n,k), B=A*A, C=B*B, D=C*C, and so on. Then the first column in the last matrix (D) converges to the Liouville function.

Links

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

Example

Triangle starts:
-1,
1,0,
1,0,0,
0,1,0,0,
1,0,0,0,0,
0,0,1,0,0,0,
1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,

Crossrefs

Cf. A020639, A008836.

Sequence in context: A353687 A354918 A354108 * A321512 A297054 A359349

Adjacent sequences: A181098 A181099 A181100 * A181102 A181103 A181104

Keyword

sign,tabl

Author

Mats Granvik, Oct 03 2010

Status

approved