A110144 Terms of A110142 at positions p(n)+1, where p(n) = A000041(n) is the number of partitions of n; a(n) = A110142(p(n)+1) for n>=1, with a(0) = 1.

1, 2, 3, 8, 6, 48, 24, 384, 144, 3840, 1152, 46080, 11520, 645120, 138240, 10321920, 1935360, 185794560, 30965760, 3715891200, 557383680, 81749606400, 11147673600, 1961990553600, 245248819200, 51011754393600, 5885971660800

Offset: 0

Author

Paul D. Hanna, Jul 14 2005

Keywords

• nonn

Crossrefs

Cf. A110142, A110141, A000041, A000165 (double factorials).

Programs

PARI

a(n)=if(n==0,1,if(n%2==1,2^(n\2+1)*(n\2+1)!,3*2^((n-1)\2)*((n-1)\2)!))

Formula

a(2*n+1) = 2^n*n!, a(2*n+2) = 3*2^n*n! for n>0, with a(0) = 1.