A165252 Triangle read by rows: Frequency with which the values of cos(2*Pi/k) mod j, listed in A164823, occur for each j >= 1, taken over k = 1..j-1.

0, 0, 1, 0, 2, 1, 0, 3, 0, 1, 0, 4, 1, 0, 2, 0, 5, 2, 1, 2, 2, 0, 6, 0, 2, 1, 0, 3, 0, 7, 1, 3, 1, 3, 1, 3, 0, 8, 1, 2, 2, 1, 2, 2, 4, 0, 9, 1, 1, 4, 2, 4, 3, 1, 4, 0, 10, 1, 0, 1, 3, 1, 2, 0, 2, 5

Offset: 1

Author

Christopher Hunt Gribble, Sep 10 2009

Keywords

• nonn
• tabl

Comments

The FORTRAN program used to generate this sequence is too complex to be listed here.

Examples

			The triangle of numbers is:
..j....Frequency of values over k
.......0..1..2..3..4..5..6..7..8..9..10
..1....0
..2....0..1
..3....0..2..1
..4....0..3..0..1
..5....0..4..1..0..2
..6....0..5..2..1..2..2
..7....0..6..0..2..1..0..3
..8....0..7..1..3..1..3..1..3
..9....0..8..1..2..2..1..2..2..4
.10....0..9..1..1..4..2..4..3..1..4
.11....0.10..1..0..1..3..1..2..0..2..5
		

Links

• C. H. Gribble, Flattened triangle, for j = 1..100 and k = 1..j-1.

Crossrefs

Cf: A164822, A164823, A164831, A164846.