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A109495
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Entries in 3-dimensional solid related to Prouhet-Tarry problem.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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.
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FORMULA
| Sum of terms in 2D slice [2, k] is 3^(2+k).
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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 .......
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CROSSREFS
| Cf. A000001.
Sequence in context: A086600 A025912 A029441 * A164295 A035214 A071292
Adjacent sequences: A109492 A109493 A109494 * A109496 A109497 A109498
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KEYWORD
| nonn,tabf,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 29 2005
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