

A105586


A Moebiusbinomial triangle.


4



1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
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OFFSET

0,1


COMMENTS

nth row is all 1's unless n is not squarefree (see A013929). Row sums are A105587. Diagonal sums are A105588. Inverse is A105589.


LINKS

Table of n, a(n) for n=0..104.


FORMULA

Number triangle T(n, k)=if(k<=n, binomial(abs(mu(n)), abs(mu(k))), 0)


EXAMPLE

Triangle starts
1;
1,1;
1,1,1;
1,1,1,1;
0,0,0,0,1;
1,1,1,1,1,1;
1,1,1,1,1,1,1;
1,1,1,1,1,1,1,1;
0,0,0,0,1,0,0,0,1;


CROSSREFS

Sequence in context: A054527 A137794 A209929 * A202022 A136522 A188641
Adjacent sequences: A105583 A105584 A105585 * A105587 A105588 A105589


KEYWORD

easy,nonn,tabl


AUTHOR

Paul Barry, Apr 14 2005


STATUS

approved



