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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.

%I A165252 #9 Dec 13 2024 13:21:44
%S A165252 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 A165252 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 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.
%C A165252 The FORTRAN program used to generate this sequence is too complex to be listed here.
%H A165252 C. H. Gribble, <a href="/A165252/b165252.txt">Flattened triangle, for j = 1..100 and k = 1..j-1</a>.
%e A165252 The triangle of numbers is:
%e A165252 ..j....Frequency of values over k
%e A165252 .......0..1..2..3..4..5..6..7..8..9..10
%e A165252 ..1....0
%e A165252 ..2....0..1
%e A165252 ..3....0..2..1
%e A165252 ..4....0..3..0..1
%e A165252 ..5....0..4..1..0..2
%e A165252 ..6....0..5..2..1..2..2
%e A165252 ..7....0..6..0..2..1..0..3
%e A165252 ..8....0..7..1..3..1..3..1..3
%e A165252 ..9....0..8..1..2..2..1..2..2..4
%e A165252 .10....0..9..1..1..4..2..4..3..1..4
%e A165252 .11....0.10..1..0..1..3..1..2..0..2..5
%Y A165252 Cf: A164822, A164823, A164831, A164846.
%K A165252 nonn,tabl
%O A165252 1,5
%A A165252 _Christopher Hunt Gribble_, Sep 10 2009