A165252 - OEIS

%I #6 Apr 10 2021 22:29:18

%S 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,

%T 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

%N 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.

%C The triangle of numbers is:

%C ..j....Frequency of values over k

%C .......0..1..2..3..4..5..6..7..8..9..10

%C ..1....0

%C ..2....0..1

%C ..3....0..2..1

%C ..4....0..3..0..1

%C ..5....0..4..1..0..2

%C ..6....0..5..2..1..2..2

%C ..7....0..6..0..2..1..0..3

%C ..8....0..7..1..3..1..3..1..3

%C ..9....0..8..1..2..2..1..2..2..4

%C .10....0..9..1..1..4..2..4..3..1..4

%C .11....0.10..1..0..1..3..1..2..0..2..5

%H C. H. Gribble, <a href="/A165252/b165252.txt">Flattened triangle, for j = 1..100 and k = 1..j-1</a>.

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

%Y Cf: A164822, A164823, A164831, A164846.

%K nonn,tabl

%O 1,5

%A _Christopher Hunt Gribble_, Sep 10 2009