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A109495 Entries in 3-dimensional solid related to Prouhet-Tarry problem. +0
2
1, 2, 2, 1, 2, 1, 1, 1, 2, 5, 2, 1, 5, 5, 1, 1, 2, 1, 1, 2, 1, 2, 8, 8, 2, 1, 8, 15, 8, 1, 2, 8, 8, 2, 1, 2, 1, 1, 3, 3, 1, 2, 11, 18, 11, 2, 1, 11, 31, 31, 11, 1, 3, 18, 31, 18, 3, 3, 11, 11, 3, 1, 2, 1, 1, 4, 6, 4, 1, 2, 14, 32, 32, 14, 2, 1, 14, 53, 80, 53, 14, 1, 4, 32, 80, 80, 32, 4, 6 (list; graph; listen)
OFFSET

0,2

COMMENT

Entries of slices [2,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, slice [1,k] gives A109393.

FORMULA

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

EXAMPLE

Slice [2,0]:

.... 1 ....

... 2 2 ...

.. 1 2 1 ...

Slice [2,1]:

.... 1 1 ....

... 2 5 2 ...

.. 1 5 5 1 ...

... 1 2 1 ...

Slice [2,2]:

.... 1 2 1 ....

... 2 8 8 2 ...

.. 1 8 15 8 1 ...

... 2 8 8 2 ...

.... 1 2 1 ....

Slice [2,3]:

.... 1 3 3 1 ....

... 2 11 18 11 2 ...

.. 1 11 31 31 11 1 ...

... 3 18 31 18 3 ....

.... 3 11 11 3 .....

..... 1 2 1 ......

Slice [2,4]:

.... 1 4 6 4 1 ...

... 2 14 32 32 14 2 ...

.. 1 14 53 80 53 14 1 ...

... 4 32 80 80 32 4 ....

.... 6 32 53 32 6 .....

..... 4 14 14 4 .....;

...... 1 2 1 ......;

Slice [2,5]:

.... 1 5 10 10 5 1 ...

... 2 17 50 70 50 17 2 ...

.. 1 17 81 165 165 81 17 1 ...

... 5 50 165 240 165 50 5 ....

.... 10 70 165 165 70 10 .....

..... 10 50 81 50 10 ......

...... 5 17 17 5 ......

....... 1 2 1 .......

CROSSREFS

Cf. A000001.

Adjacent sequences: A109492 A109493 A109494 this_sequence A109496 A109497 A109498

Sequence in context: A086600 A025912 A029441 this_sequence A035214 A071292 A088569

KEYWORD

nonn,tabf,easy

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 29 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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