A109393 Entries in 3-dimensional solid related to Prouhet-Tarry problem.

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

Offset

0,7

Comments

Entries of slices [1,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.

Links

Table of n, a(n) for n=0..87.

Formula

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

Example

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

Crossrefs

Cf. A109390.

Sequence in context: A117544 A030393 A328391 * A030348 A143811 A109673

Adjacent sequences: A109390 A109391 A109392 * A109394 A109395 A109396

Keyword

nonn,tabf,easy

Author

Philippe Deléham, Aug 26 2005

Status

approved