A109494 Entries in 3-dimensional solid related to Prouhet-Tarry problem.

1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 5, 5, 1, 2, 5, 2, 1, 1, 1, 2, 1, 2, 8, 8, 1, 1, 8, 15, 8, 1, 2, 8, 8, 2, 1, 2, 1, 1, 2, 1, 3, 11, 11, 3, 3, 18, 31, 18, 3, 1, 11, 31, 31, 11, 1, 2, 11, 18, 11, 2, 1, 3, 3, 1, 1, 2, 1, 4, 14, 14, 4, 6, 32, 53, 32, 6, 4, 32, 80, 80, 32, 4, 1, 14, 53, 80, 53, 14, 1

Offset: 0

Author

Philippe Deléham, Aug 29 2005

Keywords

• nonn
• tabf
• easy

Comments

Entries of slices [n,2] in A109672, read by rows.

Slice [n,0] gives A046816, slice [0,k] gives A109649, slice [n,n] gives A109673, slice [n,1] gives A109390, slice [1,k] gives A109393, slice [2,k] gives A109495.

Examples

			Slice [0,2]:
... 1 2 1 ...
.... 2 2 ....
..... 1 .....
Slice [1,2]:
... 1 2 1 ...
.. 1 5 5 1 ...
... 2 5 2 ...
.... 1 1 ....
Slice [2,2]:
.... 1 2 1 ....
... 2 8 8 2 ...
.. 1 8 15 8 1 ...
... 2 8 8 2 ...
.... 1 2 1 ....
Slice [3,2]:
..... 1 2 1 .....
.... 3 11 11 3 ....
... 3 18 31 18 3 ...
.. 1 11 31 31 11 1 ...
... 2 11 18 11 2 ...
.... 1 3 3 1 ....
Slice [4,2]:
...... 1 2 1 ......
..... 4 14 14 4 .....
.... 6 32 53 32 6 ....
... 4 32 80 80 32 4 ...
.. 1 14 53 80 53 14 1 ...
... 2 14 32 32 14 2 ...
.... 1 4 6 4 1 ....
Slice [5,2]:
....... 1 2 1 .......
...... 5 17 17 5 ......
..... 10 50 81 50 10 .....
.... 10 70 165 165 70 10 ....
... 5 50 165 240 165 50 5 ...
.. 1 17 81 165 165 81 17 1 ...
... 2 17 50 70 50 17 2 ...
.... 1 5 10 10 5 1 ....
		

Formula

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