A109495 Entries in 3-dimensional solid related to Prouhet-Tarry problem.

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

Offset

0,2

Comments

Entries of slices [2,k] 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.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A109672, A046816, A109649, A109673, A109390, A109393.

Sequence in context: A025912 A029441 A342263 * A164295 A035214 A071292

Adjacent sequences: A109492 A109493 A109494 * A109496 A109497 A109498

Keyword

nonn,tabf,easy

Author

Philippe Deléham, Aug 29 2005

Status

approved