A143110 Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n.

1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2

Offset

1,3

Comments

Row sums = A069735: (1, 3, 2, 5, 2, 6, 2, 7,...).

T(n,k) = 2 if k is even and divides n, 1 if k is odd and divides n; 0 otherwise.

Links

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

Formula

Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n; where A051731 = the inverse Mobius transform and A000034 = (1, 2, 1, 2, 1, 2,...).

Example

First few rows of the triangle are:
1;
1, 2;
1, 0, 1;
1, 2, 0, 2;
1, 0, 0, 0, 1;
1, 2, 1, 0, 0, 2;
1, 0, 0, 0, 0, 0, 1;
...

Crossrefs

Cf. A051731, A000034, A069735.

Sequence in context: A035154 A113446 A121450 * A319662 A109294 A132966

Adjacent sequences: A143107 A143108 A143109 * A143111 A143112 A143113

Keyword

nonn,tabl

Author

Gary W. Adamson & Mats Granvik, Jul 25 2008

Status

approved