A066121 Multi-level factorials: triangle with a(n,k)=a(n-1,k-1)*a(n-1,k) but with a(n,1)=n and a(n,n)=1.

1, 2, 1, 3, 2, 1, 4, 6, 2, 1, 5, 24, 12, 2, 1, 6, 120, 288, 24, 2, 1, 7, 720, 34560, 6912, 48, 2, 1, 8, 5040, 24883200, 238878720, 331776, 96, 2, 1, 9, 40320, 125411328000, 5944066965504000, 79254226206720, 31850496, 192, 2, 1, 10, 362880

Offset

1,2

Links

Table of n, a(n) for n=1..47.

Example

a(4,2)=a(3,1)*a(3,2)=3*2=6. Rows start 1; 2,1; 3,2,1; 4,6,2,1; ...

Crossrefs

Columns include A000027, A000142, A000178, A055462, A057527, A057528. Right hand side includes A000012, A007395, A007283. Cf. A066119.

Sequence in context: A089353 A136451 A361894 * A039911 A208945 A209073

Adjacent sequences: A066118 A066119 A066120 * A066122 A066123 A066124

Keyword

nonn,tabl

Author

Henry Bottomley, Dec 05 2001

Status

approved