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A105234
Central column of a Moebius-binomial triangle.
2
1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1
OFFSET
0,1
COMMENTS
Central column of A105586. Partial sums are A105235.
FORMULA
a(n) = binomial(abs(mu(2n)), abs(mu(n))).
MATHEMATICA
a[n_]:=Binomial[Abs[MoebiusMu[2n]], Abs[MoebiusMu[n]]]; Table[a[n], {n, 0, 100}] (* James C. McMahon, Jan 22 2024 *)
PROG
(PARI) A105234(n) = if(n<2, 1, binomial(abs(moebius(2*n)), abs(moebius(n)))); \\ Antti Karttunen, Sep 13 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 14 2005
STATUS
approved