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A166373 Triangle read by rows for floor(j^2 / n) with n >= 2 and 1<=j

%I A166373 #9 Jul 09 2025 04:31:04
%S A166373 0,0,1,0,1,2,0,0,1,3,0,0,1,2,4,0,0,1,2,3,5,0,0,1,2,3,4,6,0,0,1,1,2,4,
%T A166373 5,7,0,0,0,1,2,3,4,6,8,0,0,0,1,2,3,4,5,7,9,0,0,0,1,2,3,4,5,6,8,10,0,0,
%U A166373 0,1,1,2,3,4,6,7,9,11,0,0,0,1,1,2,3,4,5,7,8,10,12,0,0,0,1,1,2,3,4,5,6,8,9
%N A166373 Triangle read by rows for floor(j^2 / n) with n >= 2 and  1<=j<n.
%e A166373 Part of the triangle from which the sequence is constructed is shown below.
%e A166373 .....j..1..2..3..4..5..6..7..8..9.10.11.12.13.14
%e A166373 ...n
%e A166373 ...2....0
%e A166373 ...3....0..1
%e A166373 ...4....0..1..2
%e A166373 ...5....0..0..1..3
%e A166373 ...6....0..0..1..2..4
%e A166373 ...7....0..0..1..2..3..5
%e A166373 ...8....0..0..1..2..3..4..6
%e A166373 ...9....0..0..1..1..2..4..5..7
%e A166373 ..10....0..0..0..1..2..3..4..6..8
%e A166373 ..11....0..0..0..1..2..3..4..5..7..9
%e A166373 ..12....0..0..0..1..2..3..4..5..6..8.10
%e A166373 ..13....0..0..0..1..1..2..3..4..6..7..9.11
%e A166373 ..14....0..0..0..1..1..2..3..4..5..7..8.10.12
%e A166373 ..15....0..0..0..1..1..2..3..4..5..6..8..9.11.13
%o A166373 (PARI) T(n,j)=j^2\n \\ _Charles R Greathouse IV_, Jan 16 2012
%Y A166373 A165974 is contained in this sequence.
%Y A166373 Cf. A166381 (column sums), A166375 (row sums).
%K A166373 nonn,easy,tabl
%O A166373 2,6
%A A166373 _Christopher Hunt Gribble_, Oct 13 2009. Offset corrected Oct 18 2009