A109390 Entries in 3-dimensional solid related to Prouhet-Tarry problem.

1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 5, 2, 1, 5, 5, 1, 1, 2, 1, 1, 1, 3, 7, 3, 3, 12, 12, 3, 1, 7, 12, 7, 1, 1, 3, 3, 1, 1, 1, 4, 9, 4, 6, 22, 22, 6, 4, 22, 36, 22, 4, 1, 9, 22, 22, 9, 1, 1, 1, 5, 11, 5, 10, 35, 35, 10, 10, 50, 80, 50, 10, 5, 35, 80, 80, 35, 5, 1, 11, 35, 50

Offset: 0

Author

Philippe Deléham, Aug 26 2005

Keywords

• nonn
• tabf
• easy

Comments

Entries of slices [n,1] in A109672, read by rows.

Slice [n,0] gives A046816, slice [0,k] gives A109649, slice [n,n] gives A109673, slice [1,k] gives A109393.

Examples

			Slice [0,1]:
... 1 1 ...
.... 1 ....
Slice [1,1]:
... 1 1 ...
.. 1 3 1 ...
... 1 1 ...
Slice [2,1]:
.... 1 1 ....
... 2 5 2 ...
.. 1 5 5 1 ...
... 1 2 1 ...
Slice [3,1]:
..... 1 1 .....
.... 3 7 3 ....
... 3 12 12 3 ...
.. 1 7 12 7 1 ...
... 1 3 3 1 ...
Slice [4,1]:
...... 1 1 ......
..... 4 9 4 .....
.... 6 22 22 6 ....
... 4 22 36 22 4 ...
.. 1 9 22 22 9 1 ...
... 1 4 6 4 1 ...
Slice [5,1]:
....... 1 1 .......
...... 5 11 5 ......
..... 10 35 35 10 .....
.... 10 50 80 50 10 ....
... 5 35 80 80 35 5 ...
.. 1 11 35 50 35 11 1 ...
... 1 5 10 10 5 1 ...
		

Crossrefs

Cf. A109393.

Formula

Sum of terms in 2D slice [n, 1] is 3^(n+1).