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A152614
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Square array read by upwards antidiagonals.
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0
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-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)
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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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...
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PROG
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(Excel) =if(mod(row(); column())=0; -1*lookup(row()/column(); A000027; A008683); if(mod(column(); row())=0; -1*lookup(column()/row(); A000027; A008683); 0))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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