A152614 Square array read by upwards antidiagonals.

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

Offset

1,1

Comments

Partial sums + 2 are the natural numbers. For rows greater than columns the mobius function times -1 is interleaved with column-1 zeros in the columns. For columns greater than rows the mobius function times -1 is interleaved with row-1 zeros in the rows.

Links

Table of n, a(n) for n=1..97.

Example

Table begins;
-1..1..1..0..1.-1..1..0
.1.-1..0..1..0..1..0..0
.1..0.-1..0..0..1..0..0
.0..1..0.-1..0..0..0..1
.1..0..0..0.-1..0..0..0
-1..1..1.,0..0.-1..0..0
.1..0..0..0..0..0.-1..0
.0..0..0..1..0..0..0.-1
and partial sums + 2 are: 1,2,3,4,5,6,7,8,9...

Prog

(Excel) =if(mod(row(); column())=0; -1*lookup(row()/column(); A000027; A008683); if(mod(column(); row())=0; -1*lookup(column()/row(); A000027; A008683); 0))

Crossrefs

Cf. A000027, A008683.

Sequence in context: A300294 A071041 A082551 * A127507 A204441 A127244

Adjacent sequences: A152611 A152612 A152613 * A152615 A152616 A152617

Keyword

sign,tabl

Author

Mats Granvik, Dec 09 2008

Status

approved