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Triangular array of hypotenuses of right triangles with integer legs: T(n,k) = round(sqrt(n^2 + k^2)), 1 <= k <= n.
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%I #10 Dec 19 2017 03:07:22

%S 1,2,3,3,4,4,4,4,5,6,5,5,6,6,7,6,6,7,7,8,8,7,7,8,8,9,9,10,8,8,9,9,9,

%T 10,11,11,9,9,9,10,10,11,11,12,13,10,10,10,11,11,12,12,13,13,14,11,11,

%U 11,12,12,13,13,14,14,15,16,12,12,12,13,13,13,14,14,15,16,16,17,13,13,13

%N Triangular array of hypotenuses of right triangles with integer legs: T(n,k) = round(sqrt(n^2 + k^2)), 1 <= k <= n.

%C T(n,n) = A022846(n).

%e Triangle begins:

%e 1;

%e 2, 3;

%e 3, 4, 4;

%e 4, 4, 5, 6;

%e 5, 5, 6, 6, 7;

%e 6, 6, 7, 7, 8, 8;

%e 7, 7, 8, 8, 9, 9, 10;

%e ...

%K nonn,tabl

%O 1,2

%A _Reinhard Zumkeller_, Feb 25 2003