A168120 Square array T(n,k) read by antidiagonals in which column k lists each number A000009 followed by k-1 zeros, for k>0.

1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 3, 1, 1, 0, 0, 1, 4, 0, 0, 0, 0, 0, 1, 5, 2, 0, 1, 0, 0, 0, 1, 6, 0, 1, 0, 0, 0, 0, 0, 1, 8, 2, 0, 0, 1, 0, 0, 0, 0, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 3, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset: 0

Author

Omar E. Pol, Nov 26 2009

Keywords

• easy
• nonn
• tabl

Comments

The same structure of the square array in A168019, but using the numbers A000009.

Examples

			The array begins:
==================================================
... Column k: 1. 2. 3. 4. 5. 6. 7. 8. 9 10 11 12
. Row ...........................................
...n ............................................
==================================================
.. 0 ........ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
.. 1 ........ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
.. 2 ........ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
.. 3 ........ 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
.. 4 ........ 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
.. 5 ........ 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
.. 6 ........ 4, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0,
.. 7 ........ 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
.. 8 ........ 6, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0,
.. 9 ........ 8, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0,
. 10 ....... 10, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0,
. 11 ....... 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
. 12 ....... 15, 4, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1,
...
		

Crossrefs

Cf. A000009, A000041, A168019, A168021, A168121, A168122.

Extensions

Edited by Charles R Greathouse IV, Mar 23 2010