A109672 Entries in 3-dimensional solids related to Prouhet-Tarry problem.

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 3, 3, 1, 3, 6, 3, 3, 3, 1, 1, 2, 1, 1, 5, 5, 1, 2, 5, 2, 1, 1, 1, 1, 2, 5, 2, 1, 5, 5, 1, 1, 2, 1, 1, 3, 3, 3, 6, 3, 1, 3, 3, 1, 1, 4, 6, 4, 1, 4, 12, 12, 4, 6, 12, 6, 4, 4, 1, 1, 3, 3, 1, 1, 7, 12, 7, 1, 3, 12

Offset

0,9

Comments

Table of slices [n,k] of solids, read by antidiagonals, each slice [n,k] read by rows.

Slice [n,0] gives A046816.

Slice [0,k] gives A109649.

Slice [n,n] gives A109673.

Links

Table of n, a(n) for n=0..95.

Formula

Sum of terms in 2D slice [n, k] is 3^(n+k); example : 1+2+1+1+5+5+1+2+5+2+1+127=3^(2+1) for slice [1, 2].

Example

Slice [0,0]:
...1...
Slice [0,1]:
... 1 1 ...
.... 1 ....
Slice [1,0]:
.... 1 ....
... 1 1...
Slice [0,2]:
.. 1 2 1 ...
.... 2 2 ...
..... 1 .....
Slice [1,1]:
... 1 1 ...
.. 1 3 1..
... 1 1 ...
Slice [2,0]:
..... 1 .....
.... 2 2 ...
.. 1 2 1 ...
Slice [0,3]:
.. 1 3 3 1 ...
... 3 6 3 ....
.... 3 3 ......
..... 1 ........
Slice [1,2]:
... 1 2 1 ...
.. 1 5 5 1 ...
... 2 5 2 ...
.... 1 1 ...
Slice [2,1]:
.... 1 1 ...
... 2 5 2 ...
.. 1 5 5 1 ...
... 1 2 1 ...
Slice [3,0]:
..... 1 .....
.... 3 3 ....
... 3 6 3 ...
.. 1 3 3 1 ...

Crossrefs

Sequence in context: A261083 A186713 A156263 * A279362 A214841 A025917

Adjacent sequences: A109669 A109670 A109671 * A109673 A109674 A109675

Keyword

nonn,tabf,easy

Author

Philippe Deléham, Aug 07 2005

Status

approved