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A152614 Square array read by upwards antidiagonals. 0
-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 (list; table; graph; refs; listen; history; text; internal format)
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 A127247

Adjacent sequences:  A152611 A152612 A152613 * A152615 A152616 A152617

KEYWORD

sign,tabl

AUTHOR

Mats Granvik, Dec 09 2008

STATUS

approved

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Last modified November 30 18:22 EST 2020. Contains 338807 sequences. (Running on oeis4.)