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A165609
Irregular triangle read by rows: Nonexistent values of cos(2*Pi/k) mod j, for j >= 2 and 1 <= k <= j-1.
2
2, 3, 2, 5, 3, 8, 3, 8, 9, 2, 5, 10, 3, 4, 15, 16, 4, 10, 13, 19, 4, 19, 22, 27, 2, 5, 10, 11, 20, 21, 26, 29, 3, 6, 9, 15, 20, 24, 25, 32, 33, 5, 6, 10, 11, 33, 37, 3, 8, 9, 13, 20, 23, 30, 34, 35, 40, 4, 10, 18, 19, 28, 29, 37, 43
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OFFSET
1,1
COMMENTS
See
A164823
for explanatory comment and the definition of "cos(x) mod j".
LINKS
Christopher Hunt Gribble,
Flattened irregular triangle, for 2 < j < 1000
.
EXAMPLE
The irregular triangle of numbers without empty rows is:
j Nonexistent values of cos(2*Pi/k) mod j
4 2
5 3
7 2 5
11 3 8
13 3 8 9
17 2 5 10
19 3 4 15 16
23 4 10 13 19
29 4 19 22 27
31 2 5 10 11 20 21 26 29
37 3 6 9 15 20 24 25 32 33
41 5 6 10 11 33 37
43 3 8 9 13 20 23 30 34 35 40
47 4 10 18 19 28 29 37 43
CROSSREFS
Cf.
A164823
,
A165252
.
Sequence in context:
A075105
A265675
A094020
*
A358462
A141465
A263216
Adjacent sequences:
A165606
A165607
A165608
*
A165610
A165611
A165612
KEYWORD
nonn
,
tabf
AUTHOR
Christopher Hunt Gribble
, Sep 22 2009
EXTENSIONS
Minor edits from
N. J. A. Sloane
, Sep 25 2009
Minor edit by
Christopher Hunt Gribble
, Oct 01 2009
STATUS
approved