A248812 Repeated terms of (2n)! (A010050).

1, 1, 2, 2, 24, 24, 720, 720, 40320, 40320, 3628800, 3628800, 479001600, 479001600, 87178291200, 87178291200, 20922789888000, 20922789888000, 6402373705728000, 6402373705728000, 2432902008176640000, 2432902008176640000, 1124000727777607680000

Offset

0,3

Comments

For n>1, a(n) is the product of the smallest parts in the partitions of 4*floor(n/2) = A168273(n) into two parts.

Links

Table of n, a(n) for n=0..22.

Index entries for sequences related to partitions

Formula

a(n) = ( 2*floor(n/2) )! = A000142(A052928(n)).

a(2n) = a(2n+1) = A010050(n) = A211374(2n-1).

E.g.f.: log((1+x)/(1-x))/2+1/(1-x^2). - Robert Israel, Oct 19 2014

Maple

A248812:=n->(2*floor(n/2))!: seq(A248812(n), n=0..20);

Mathematica

Table[(2*Floor[n/2])!, {n, 0, 20}]

Prog

(Magma) [Factorial(2*Floor(n/2)) : n in [0..20]];

Crossrefs

Cf. A000142, A052928, A010050, A168273, A211374.

Sequence in context: A250033 A224479 A279311 * A226243 A226979 A261517

Adjacent sequences: A248809 A248810 A248811 * A248813 A248814 A248815

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Oct 16 2014

Status

approved