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A276669 Triangle read by rows T(n,k) in which row n lists the first 2n-1 nonnegative integers representing 2n-1 equidistant points labeled in counterclockwise direction around a circle, with the 0th point at the top and reading them from left to right. 2
0, 1, 0, 2, 1, 2, 0, 3, 4, 2, 1, 3, 0, 4, 6, 5, 2, 3, 1, 4, 0, 5, 8, 6, 7, 3, 2, 4, 1, 5, 0, 6, 10, 7, 9, 8, 3, 4, 2, 5, 1, 6, 0, 7, 12, 8, 11, 9, 10, 4, 3, 5, 2, 6, 1, 7, 0, 8, 14, 9, 13, 10, 12, 11, 4, 5, 3, 6, 2, 7, 1, 8, 0, 9, 16, 10, 15, 11, 14, 12, 13, 5, 4, 6, 3, 7, 2, 8, 1, 9, 0, 10, 18, 11, 17, 12, 16, 13, 15, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

James Bentley, Rows 0...405 flattened

EXAMPLE

Triangle begins:

0;

1, 0, 2;

1, 2, 0, 3, 4;

2, 1, 3, 0, 4, 6, 5;

2, 3, 1, 4, 0, 5, 8, 6, 7;

3, 2, 4, 1, 5, 0, 6, 10, 7, 9, 8;

3, 4, 2, 5, 1, 6, 0, 7, 12, 8, 11, 9, 10;

4, 3, 5, 2, 6, 1, 7, 0, 8, 14, 9, 13, 10, 12, 11;

4, 5, 3, 6, 2, 7, 1, 8, 0, 9, 16, 10, 15, 11, 14, 12, 13;

5, 4, 6, 3, 7, 2, 8, 1, 9, 0, 10, 18, 11, 17, 12, 16, 13, 15, 14;

...

Illustration of numbers around a circle associated to the fourth row of triangle:

.

.               0

.           1       6

.

.          2         5

.

.             3   4

.

So the 4th row of the triangle is [2, 1, 3, 0, 4, 6, 5].

MATHEMATICA

f[n_] := Transpose[ Sort[ Table[{Sin[ 2i*Pi/n + Pi], i}, {i, 0, n -1}], #1[[1]] < #2[[1]] &]][[2]]; Table[ f[n], {n, 1, 19, 2}] // Flatten (* Robert G. Wilson v, Nov 18 2016 *) (* Changing the constant in the Mmca coding changes where the reading begins. Pi starts it at the 9 o'clock position, Pi/2 would start it at the 12 o'clock position, 0 would have it start at the 3 o'clock position, etc. *)

CROSSREFS

Column 1 is A110654. Middle diagonal is A000004. Apart from the first term, right border gives A001651.

Cf. A001477, A004526.

Sequence in context: A272569 A068076 A138498 * A307596 A240205 A050319

Adjacent sequences:  A276666 A276667 A276668 * A276670 A276671 A276672

KEYWORD

nonn,tabf,look

AUTHOR

James Bentley and Omar E. Pol, Sep 12 2016

STATUS

approved

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Last modified June 16 12:38 EDT 2019. Contains 324152 sequences. (Running on oeis4.)