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Triangle of numbers related to A075535.
0

%I #7 Mar 30 2014 12:16:53

%S 1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,1,1,1,1,2,3,2,1,1,1,1,2,3,3,2,

%T 1,1,1,1,2,3,4,3,2,1,1,1,1,2,3,4,4,3,2,1,1,1,1,2,3,4,6,4,3,2,1,1,1,1,

%U 2,3,4,6,6,4,3,2,1,1,1,1,2,3,4,6

%N Triangle of numbers related to A075535.

%C Triangle read by rows; each row is an initial segment of the terms of A075535 followed by its reflection.

%F T(2n,n) = A075535(n+1).

%F Sum_{k=0..n} T(n,k) = A075535(n+2).

%e Triangle begins:

%e 1;

%e 1, 1;

%e 1, 1, 1;

%e 1, 1, 1, 1;

%e 1, 1, 2, 1, 1;

%e 1, 1, 2, 2, 1, 1;

%e 1, 1, 2, 3, 2, 1, 1;

%e 1, 1, 2, 3, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 6, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 6, 6, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 6, 8, 6, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 6, 8, 8, 6, 4, 3, 2, 1, 1;

%e 1, 1, 2, 3, 4, 6, 8,11, 8, 6, 4, 3, 2, 1, 1;

%Y Cf. A075535.

%K easy,nonn,tabl

%O 0,13

%A _Philippe Deléham_, Feb 25 2014