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A109672 Entries in 3-dimensional solids related to Prouhet-Tarry problem. 6
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 29 03:06 EDT 2020. Contains 334696 sequences. (Running on oeis4.)