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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. +0
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 (list; table; graph; listen)
OFFSET

1,8

COMMENT

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: A128519 A061670 A108063 this_sequence A026729 A109466 A076833

Adjacent sequences: A164843 A164844 A164845 this_sequence A164847 A164848 A164849

KEYWORD

nonn,tabl,more

AUTHOR

Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Aug 28 2009

EXTENSIONS

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

Sequence corrected by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Sep 10 2009

Minor edits by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 01 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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