login
Triangle read by rows for floor(j^2 / n) with n >= 2 and 1<=j<n.
5

%I #7 Jul 21 2015 04:49:12

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

%e Part of the triangle from which the sequence is constructed is shown below.

%e .....j..1..2..3..4..5..6..7..8..9.10.11.12.13.14

%e ...n

%e ...2....0

%e ...3....0..1

%e ...4....0..1..2

%e ...5....0..0..1..3

%e ...6....0..0..1..2..4

%e ...7....0..0..1..2..3..5

%e ...8....0..0..1..2..3..4..6

%e ...9....0..0..1..1..2..4..5..7

%e ..10....0..0..0..1..2..3..4..6..8

%e ..11....0..0..0..1..2..3..4..5..7..9

%e ..12....0..0..0..1..2..3..4..5..6..8.10

%e ..13....0..0..0..1..1..2..3..4..6..7..9.11

%e ..14....0..0..0..1..1..2..3..4..5..7..8.10.12

%e ..15....0..0..0..1..1..2..3..4..5..6..8..9.11.13

%o (PARI) T(n,j)=j^2\n \\ _Charles R Greathouse IV_, Jan 16 2012

%Y A165974 is contained in this sequence.

%Y Cf. A166381 (column sums), A166375 (row sums).

%K nonn,easy,tabl

%O 2,6

%A _Christopher Hunt Gribble_, Oct 13 2009. Offset corrected Oct 18 2009.