A061133 Number of degree-n even permutations of order exactly 6.

0, 0, 0, 0, 0, 0, 210, 5040, 37800, 201600, 2044350, 25530120, 213993780, 1692490800, 19767998250, 232823791200, 2235629476080, 23171222430720, 294649445112750, 4300403589581400, 55176842335916700, 660577269463243440

Offset

1,7

Links

Table of n, a(n) for n=1..22.

Formula

E.g.f.: exp(x) - 1/2*exp(x + 1/2*x^2) - 1/2*exp(x - 1/2*x^2) - exp(x + 1/3*x^3) + 1/2*exp(x + 1/2*x^2 + 1/3*x^3 + 1/6*x^6) + 1/2*exp(x - 1/2*x^2 + 1/3*x^3 - 1/6*x^6).

Crossrefs

Cf. A000085, A001470, A001472, A052501, A053496 - A053505, A001189, A001471, A001473, A061121 - A061128, A000704, A061129 - A061132, A048099, A051695, A061133 - A061135.

Sequence in context: A235240 A103604 A257711 * A087977 A185042 A323963

Adjacent sequences: A061130 A061131 A061132 * A061134 A061135 A061136

Keyword

easy,nonn

Author

Vladeta Jovovic, Apr 14 2001

Status

approved