A214075 Triangle read by rows: T(n,k) = floor(A213998(n,k) / A213999(n,k)), 0<=k<=n.

1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 4, 2, 0, 1, 4, 7, 6, 2, 0, 1, 5, 12, 14, 8, 2, 0, 1, 6, 17, 26, 22, 11, 2, 0, 1, 7, 24, 44, 49, 34, 13, 2, 0, 1, 8, 31, 68, 93, 83, 47, 16, 2, 0, 1, 9, 40, 100, 162, 177, 131, 64, 19, 2, 0, 1, 10, 49, 140, 263, 340, 309

Offset: 0

Author

Reinhard Zumkeller, Jul 03 2012

Keywords

• nonn
• tabl

Comments

T(n,0) = 1;

T(n,1) = n - 1 for n > 0, cf. A001477;

T(n,2) = A074148(n-2) for n > 2;

T(n,n-2) = A022819(n) for n > 1;

T(n,n-1) = A055980(n) for n > 0;

T(n,n) = A000007(n).

Examples

			Start of triangle preceded by triangle "A213998/A213999":
. 0:                      1                                 1
. 1:                   1   1/2                             1  0
. 2:               1    3/2   1/3                         1  1  0
. 3:            1   5/2    11/6   1/4                    1 2  1  0
. 4:        1   7/2   13/3    25/12   1/5               1 3  4  2 0
. 5:     1   9/2   47/6   77/12   137/60   1/6         1 4  7  6 2 0
. 6:  1  11/2   37/3   57/4   87/10   49/20   1/7,    1 5 12 14 8 2 0.
		

Links

• Reinhard Zumkeller, Rows n = 0..150 of triangle, flattened

Programs

Haskell

a214075 n k = a214075_tabl !! n !! k
a214075_row n = a214075_tabl !! n
a214075_tabl = zipWith (zipWith div) a213998_tabl a213999_tabl