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 A109672 Entries in 3-dimensional solids related to Prouhet-Tarry problem. 6

%I

%S 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,

%T 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,

%U 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

%N Entries in 3-dimensional solids related to Prouhet-Tarry problem.

%C Table of slices [n,k] of solids, read by antidiagonals, each slice [n,k] read by rows.

%C Slice [n,0] gives A046816.

%C Slice [0,k] gives A109649.

%C Slice [n,n] gives A109673.

%F 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].

%e Slice [0,0]:

%e ...1...

%e Slice [0,1]:

%e ... 1 1 ...

%e .... 1 ....

%e Slice [1,0]:

%e .... 1 ....

%e ... 1 1...

%e Slice [0,2]:

%e .. 1 2 1 ...

%e .... 2 2 ...

%e ..... 1 .....

%e Slice [1,1]:

%e ... 1 1 ...

%e .. 1 3 1..

%e ... 1 1 ...

%e Slice [2,0]:

%e ..... 1 .....

%e .... 2 2 ...

%e .. 1 2 1 ...

%e Slice [0,3]:

%e .. 1 3 3 1 ...

%e ... 3 6 3 ....

%e .... 3 3 ......

%e ..... 1 ........

%e Slice [1,2]:

%e ... 1 2 1 ...

%e .. 1 5 5 1 ...

%e ... 2 5 2 ...

%e .... 1 1 ...

%e Slice [2,1]:

%e .... 1 1 ...

%e ... 2 5 2 ...

%e .. 1 5 5 1 ...

%e ... 1 2 1 ...

%e Slice [3,0]:

%e ..... 1 .....

%e .... 3 3 ....

%e ... 3 6 3 ...

%e .. 1 3 3 1 ...

%K nonn,tabf,easy

%O 0,9

%A _Philippe Deléham_, Aug 07 2005

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Last modified December 8 02:32 EST 2021. Contains 349590 sequences. (Running on oeis4.)