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

0,2

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.

Links

Table of n, a(n) for n=0..88.

Formula

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

Example

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 ....

Crossrefs

Sequence in context: A085028 A087888 A296299 * A074292 A156257 A097867

Adjacent sequences: A109491 A109492 A109493 * A109495 A109496 A109497

Keyword

nonn,tabf,easy

Author

Philippe Deléham, Aug 29 2005

Status

approved