A062627 a(n) = mu(n) * Catalan(n).

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

Offset

0,3

Links

Harry J. Smith, Table of n, a(n) for n = 0..200

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

Adjacent sequences: A062624 A062625 A062626 * A062628 A062629 A062630

Keyword

easy,sign

Author

Jason Earls, Jul 04 2001

Status

approved