A127626 Triangle T(n,k) = A018804(k) if k|n, else T(n,k)=0.

1, 1, 3, 1, 0, 5, 1, 3, 0, 8, 1, 0, 0, 0, 9, 1, 3, 5, 0, 0, 15, 1, 0, 0, 0, 0, 0, 13, 1, 3, 0, 8, 0, 0, 0, 20, 1, 0, 5, 0, 0, 0, 0, 0, 21, 1, 3, 0, 0, 9, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 1, 3, 5, 8, 0, 15, 0, 0, 0, 0, 0, 40, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25

Offset

1,3

Comments

Inverse Mobius transform of a matrix with A018804 in the main diagonal and the rest zeros.

Links

Reinhard Zumkeller, Rows n = 1..125 of triangle, flattened

Example

First few rows of the triangle are:
1;
1, 3;
1, 0, 5;
1, 3, 0, 8;
1, 0, 0, 0, 9;
1, 3, 5, 0, 0, 15;
...

Prog

(Haskell)
a127626 n k = a127626_tabl !! (n-1) !! (k-1)
a127626_row n = a127626_tabl !! (n-1)
a127626_tabl = map
   (map (\x -> if x == 0 then 0 else a018804 x)) a127093_tabl
-- Reinhard Zumkeller, Jan 21 2014

Crossrefs

Cf. A051731, A038040 (row sums), A018804 (diagonal).

Cf. A127093.

Sequence in context: A187954 A119302 A134560 * A245095 A154791 A121440

Adjacent sequences: A127623 A127624 A127625 * A127627 A127628 A127629

Keyword

nonn,tabl,easy

Author

Gary W. Adamson, Jan 20 2007

Status

approved