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A164846 Triangle read by rows: frequency with which the number of values taken by cos(2*pi/k) mod j occurs for each j >= 1, taken over k = 1:j-1. 5
0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 3, 0, 0, 0, 3, 0, 0, 1, 1, 0, 2, 3, 0, 1, 0, 0, 0, 4, 0, 0, 2, 0, 0, 1, 0, 3, 1, 1, 2, 0, 1, 0, 0, 0, 3, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 5, 1, 1, 0, 1, 0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 3, 6, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

The triangle of numbers is:

..j....Frequency of numbers of solutions over k

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

..1....0

..2....0..1

..3....0..1..1

..4....0..2..1..0

..5....0..1..3..0..0

..6....0..3..0..0..1..1

..7....0..2..3..0..1..0..0

..8....0..4..0..0..2..0..0..1

..9....0..3..1..1..2..0..1..0..0

.10....0..3..2..0..1..2..0..0..1..0

.11....0..2..5..1..1..0..1..0..0..0..0

LINKS

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

CROSSREFS

Cf. A164822, A164823, A164831, A165252.

Sequence in context: A236263 A319572 A108063 * A026729 A109466 A259095

Adjacent sequences:  A164843 A164844 A164845 * A164847 A164848 A164849

KEYWORD

nonn,tabl

AUTHOR

Christopher Hunt Gribble, Aug 28 2009

EXTENSIONS

Minor edits from N. J. A. Sloane, Sep 01 2009

Sequence corrected by Christopher Hunt Gribble, Sep 10 2009

Minor edits by Christopher Hunt Gribble, Oct 01 2009

STATUS

approved

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Last modified October 21 10:33 EDT 2018. Contains 316414 sequences. (Running on oeis4.)