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A109393 Entries in 3-dimensional solid related to Prouhet-Tarry problem. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A023593 A117544 A030393 * A030348 A143811 A109673

Adjacent sequences:  A109390 A109391 A109392 * A109394 A109395 A109396

KEYWORD

nonn,tabf,easy

AUTHOR

Philippe Deléham, Aug 26 2005

STATUS

approved

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Last modified November 13 11:09 EST 2018. Contains 317133 sequences. (Running on oeis4.)