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A105597 Central numbers in a Moebius-binomial triangle. 3
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Central numbers in A105595.
There seems to be a typo in above comment, maybe A105594 was intended? - Antti Karttunen, Aug 27 2017
Partial sums are A105598.
LINKS
FORMULA
a(n) = binomial(abs(mu(n)), abs(mu(floor(n/2)))).
MATHEMATICA
a[n_]:= Binomial[Abs[MoebiusMu[n]], Abs[MoebiusMu[Floor[n/2]]]]; Table[a[n], {n, 0, 100}] (* James C. McMahon, Jan 23 2024 *)
PROG
(PARI) A105597(n) = if(n<2, 1, binomial(abs(moebius(n)), abs(moebius(n\2)))); \\ Antti Karttunen, Aug 27 2017
CROSSREFS
Sequence in context: A330550 A059095 A187944 * A188470 A333922 A071026
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 14 2005
STATUS
approved

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Last modified June 21 10:24 EDT 2024. Contains 373543 sequences. (Running on oeis4.)