|
%I #12 Jan 27 2014 22:13:38
%S 0,1,0,4,1,0,9,4,1,0,16,9,4,1,0,25,16,9,4,1,0,36,25,16,9,4,1,0,49,36,
%T 25,16,9,4,1,0,64,49,36,25,16,9,4,1,0,81,64,49,36,25,16,9,4,1,0,100,
%U 81,64,49,36,25,16,9,4,1,0,121,100,81,64,49,36,25,16,9,4,1,0,144,121,100,81
%N Triangle read by rows: T(n,k) = (n-k)^2, n>=1, 1<=k<=n.
%C Alternating row sums give A000217. - _Omar E. Pol_, Jan 26 2014
%C Row sums give A000330. - _Omar E. Pol_, Jan 27 2014
%e From _Omar E. Pol_, Jan 27 2011: (Start)
%e 0;
%e 1, 0;
%e 4, 1, 0;
%e 9, 4, 1, 0;
%e 16, 9, 4, 1, 0;
%e 25, 16, 9, 4, 1, 0;
%e 36, 25, 16, 9, 4, 1, 0;
%e 49, 36, 25, 16, 9, 4, 1, 0;
%e 64, 49, 36, 25, 16, 9, 4, 1, 0;
%e 81, 64, 49, 36, 25, 16, 9, 4, 1, 0;
%e 100, 81, 64, 49, 36, 25, 16, 9, 4, 1, 0;
%e ...
%e For n = 8 the row sum is 49 + 36 + 25 + 16 + 9 + 4 + 1 + 0 = A000330(8-1) = 140. The alternating row sum is 49 - 36 + 25 - 16 + 9 - 4 + 1 - 0 = A000217(8-1) = 28.
%e (End)
%Y Cf. A055461.
%K easy,nonn,tabl
%O 1,4
%A Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 10 2004
|
