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A062627 a(n) = mu(n) * Catalan(n). 1
1, 1, -2, -5, 0, -42, 132, -429, 0, 0, 16796, -58786, 0, -742900, 2674440, 9694845, 0, -129644790, 0, -1767263190, 0, 24466267020, 91482563640, -343059613650, 0, 0, 18367353072152, 0, 0, -1002242216651368, -3814986502092304, -14544636039226909, 0, 212336130412243110 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
mu(n)* binomial(2*n, n)/(n+1); or mu(n) * A000108(n).
MATHEMATICA
Join[{1}, Table[MoebiusMu[n]CatalanNumber[n], {n, 40}]] (* Harvey P. Dale, Jan 30 2022 *)
PROG
(PARI) a(n)={if(n==0, 1, moebius(n)*binomial(2*n, n)/(n + 1))}
CROSSREFS
Cf. A000108.
Sequence in context: A324611 A260327 A329251 * A011217 A078506 A323909
KEYWORD
easy,sign
AUTHOR
Jason Earls, Jul 04 2001
STATUS
approved

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Last modified July 13 04:46 EDT 2024. Contains 374267 sequences. (Running on oeis4.)