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A105586 A Moebius-binomial 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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

n-th 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

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Last modified November 17 08:39 EST 2019. Contains 329217 sequences. (Running on oeis4.)