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Numbers in n-th upward diagonal of triangle T : 0; 1, 2; 3, 4, 5; 6, 7, 8, 9; ...
2

%I #8 May 05 2014 00:47:07

%S 0,1,3,2,6,4,10,7,5,15,11,8,21,16,12,9,28,22,17,13,36,29,23,18,14,45,

%T 37,30,24,19,55,46,38,31,25,20,66,56,47,39,32,26,78,67,57,48,40,33,27,

%U 91,79,68,58,49,41,34,105,92,80,69,59,50,42,35,120,106,93,81,70,60,51

%N Numbers in n-th upward diagonal of triangle T : 0; 1, 2; 3, 4, 5; 6, 7, 8, 9; ...

%C See also A090894 (downward diagonal).

%F a(n) = A056536(n+1) - 1.

%e 0; 1; 3,2; 6,4; 10,7,5; 15,11,8; 21,16,12,9; 28,22,17,13; ...

%o (PARI) T(n,k)=(n-k)^2+(n+k) /* _Michael Somos_, May 31 2005 */

%K easy,nonn

%O 0,3

%A _Philippe Deléham_, Feb 25 2004