

A109390


Entries in 3dimensional solid related to ProuhetTarry problem.


4



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

0,7


COMMENTS

Entries of slices [n,1] in A109672, read by rows.
Slice [n,0] gives A046816, slice [0,k] gives A109649, slice [n,n] gives A109673, slice [1,k] gives A109393.


LINKS

Table of n, a(n) for n=0..83.


FORMULA

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


EXAMPLE

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


CROSSREFS

Cf. A109393.
Sequence in context: A137578 A200146 A319095 * A130046 A262619 A166123
Adjacent sequences: A109387 A109388 A109389 * A109391 A109392 A109393


KEYWORD

nonn,tabf,easy


AUTHOR

Philippe Deléham, Aug 26 2005


STATUS

approved



