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Search: id:A109672
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| A109672 |
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Entries in 3-dimensional solids related to Prouhet-Tarry problem. |
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+0
7
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| 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; listen)
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OFFSET
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0,9
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COMMENT
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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.
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FORMULA
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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].
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EXAMPLE
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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 ...
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CROSSREFS
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Sequence in context: A071429 A145364 A156263 this_sequence A025917 A135689 A029438
Adjacent sequences: A109669 A109670 A109671 this_sequence A109673 A109674 A109675
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KEYWORD
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nonn,tabf,easy
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 07 2005
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