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

1,5

Comments

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.

Prog

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

Crossrefs

Cf: A164822, A164823, A164831, A164846.

Sequence in context: A245960 A340867 A178616 * A127373 A200123 A187616

Adjacent sequences: A165249 A165250 A165251 * A165253 A165254 A165255

Keyword

nonn,tabl

Author

Christopher Hunt Gribble, Sep 10 2009

Status

approved