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 A109393 Entries in 3-dimensional solid related to Prouhet-Tarry problem. 4

%I

%S 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,

%T 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,

%U 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

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

%C Entries of slices [1,k] in A109672, read by rows.

%C Slice [n,0] gives A046816, slice [0,k] gives A109649, slice [n,n] gives A109673, slice [n,1] gives A109390.

%F Sum of terms in 2D slice [1, k] is 3^(1+k).

%e Slice [1,0]:

%e ... 1 ...

%e .. 1 1 ...

%e Slice [1,1]:

%e ... 1 1 ...

%e .. 1 3 1 ...

%e ... 1 1 ...

%e Slice [1,2]:

%e ... 1 2 1 ...

%e .. 1 5 5 1 ...

%e ... 2 5 2 ...

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

%e Slice [1,3]:

%e ... 1 3 3 1 ...

%e .. 1 7 12 7 1 ...

%e ... 3 12 12 3 ...

%e .... 3 7 3 ....

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

%e Slice [1,4]:

%e ... 1 4 6 4 1 ...

%e .. 1 9 22 22 9 1 ...

%e ... 4 22 36 22 4 ...

%e .... 6 22 22 6 ....

%e ..... 4 9 4 .....

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

%e Slice [1,5]:

%e ... 1 5 10 10 5 1 ...

%e .. 1 11 35 50 35 11 1 ...

%e ... 5 35 80 80 35 5 ...

%e .... 10 50 80 50 10 ....

%e ..... 10 35 35 10 .....

%e ...... 5 11 5 ......

%e ....... 1 1

%Y Cf. A109390.

%K nonn,tabf,easy

%O 0,7

%A _Philippe DelĂ©ham_, Aug 26 2005

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Last modified December 13 17:35 EST 2018. Contains 318086 sequences. (Running on oeis4.)