A080046 Multiplicative Pascal triangle, read by rows: T(n,1)=T(n,n)=n and T(n,k) = T(n-1,k-1) * T(n-1,k).

1, 2, 2, 3, 4, 3, 4, 12, 12, 4, 5, 48, 144, 48, 5, 6, 240, 6912, 6912, 240, 6, 7, 1440, 1658880, 47775744, 1658880, 1440, 7, 8, 10080, 2388787200, 79254226206720, 79254226206720, 2388787200, 10080, 8, 9, 80640, 24078974976000

Offset

1,2

Comments

T(n,2) = A052849(n) for n>1.

Links

Reinhard Zumkeller and Andre F. Labossiere, Rows n=1..14 of triangle, flattened

Index entries for triangles and arrays related to Pascal's triangle

Example

1
2  2
3  4  3
4 12 12 4

Prog

(Haskell)
a080046 n k = a080046_tabl !! (n-1) !! (k-1)
a080046_row n = a080046_tabl !! (n-1)
a080046_tabl = iterate f [1] where
   f (x:xs) = [x + 1] ++ (zipWith (*) xs $ reverse xs) ++ [x + 1]
-- Reinhard Zumkeller, Oct 27 2013

Crossrefs

Cf. A007318, A082611.

Cf. A051597.

Sequence in context: A129595 A094508 A183517 * A047675 A187199 A297907

Adjacent sequences: A080043 A080044 A080045 * A080047 A080048 A080049

Keyword

nonn,tabl,look

Author

Reinhard Zumkeller, Jan 21 2003

Extensions

Corrected by André F. Labossière, Sep 27 2004

Status

approved