A179285 -id:A179285 - cp's OEIS frontend

A179286 Triangle T(n,k) read by rows. T(n,k) = A179285(n,k) - A179285(n,k+1).

1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, -1, 0, 1, 2, 0, 2, -1, 0, 1, 2, 0, 1, 1, -1, 0, 1, 2, 2, -2, 1, 1, -1, 0, 1, 2, 0, 1, 0, 0, 1, -1, 0, 1, 2, 1, 2, -1, 0, 0, 1, -1, 0, 1, 3, 2, 0, 0, 1, -1, 0, 1, -1, 0, 1, 3, 0, 0, 3, -1, 1, -1, 0, 1, -1, 0, 1, 3, 1, 0, 0, 1, 1, 0, -1, 0, 1, -1, 0, 1, 3, 2, 1, -2, 1, 0

Offset: 1

Mats Granvik, Jul 09 2010

The second column in triangle A179285 begins at T(2,1), always.

			Triangle begins:
1,
0,1,
1,0,1,
1,0,0,1,
1,2,-1,0,1,
2,0,2,-1,0,1,
2,0,1,1,-1,0,1,
2,2,-2,1,1,-1,0,1,
2,0,1,0,0,1,-1,0,1,
2,1,2,-1,0,0,1,-1,0,1,
3,2,0,0,1,-1,0,1,-1,0,1,

Cf. A179285, A179287.

T(n,k) = A179285(n,k) - A179285(n,k+1).

A179287 Matrix inverse of A179286.

Original entry on oeis.org

1, 0, 1, -1, 0, 1, -1, 0, 0, 1, -2, -2, 1, 0, 1, -1, 0, -2, 1, 0, 1, -2, -2, 0, -1, 1, 0, 1, -2, 0, -1, 0, -1, 1, 0, 1, -2, -2, 1, -2, 1, -1, 1, 0, 1, -1, 1, -3, 2, -2, 1, -1, 1, 0, 1, -2, -2, -1, -1, 1, -1, 1, -1, 1, 0, 1, -2, -1, -1, -1, -1, 1, -1, 1, -1, 1, 0, 1, -3, -2, 2, -4, 1, -2, 2, -1

Offset: 1

Mats Granvik, Jul 09 2010, Jul 17 2010

We can replace the second column in A179285 (first column of A179286) with (A_eps)*n^(1/2+eps) where n=0,1,2,3... and still get the Mertens function in the first column of this array. This proves nothing though because the second column in A179285 can be any sequence (beginning with a zero) of real random numbers.

			Triangle begins:
1,
0,1,
-1,0,1,
-1,0,0,1,
-2,-2,1,0,1,
-1,0,-2,1,0,1,
-2,-2,0,-1,1,0,1,
-2,0,-1,0,-1,1,0,1,
-2,-2,1,-2,1,-1,1,0,1,
-1,1,-3,2,-2,1,-1,1,0,1,
-2,-2,-1,-1,1,-1,1,-1,1,0,1,
-2,-1,-1,-1,-1,1,-1,1,-1,1,0,1,

Cf. A179285, A179286, A002321 (first column of this triangle).

cp's OEIS Frontend

A179286 Triangle T(n,k) read by rows. T(n,k) = A179285(n,k) - A179285(n,k+1).

Views

Author

Keywords

Comments

Examples

Crossrefs

Formula