A345628 Irregular triangle T(n,k) read by rows of the number of elements of order k in the dicyclic group Dic(n) for n>=2.

1, 1, 0, 6, 1, 1, 2, 6, 0, 2, 1, 1, 0, 10, 0, 0, 0, 4, 1, 1, 0, 10, 4, 0, 0, 0, 0, 4, 1, 1, 2, 14, 0, 2, 0, 0, 0, 0, 0, 4, 1, 1, 0, 14, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 1, 1, 0, 18, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 1, 1, 2, 18, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0

Offset

2,4

Comments

Dic(1) is omitted since it is degenerate.

Row n has 2*n entries (k=1..2*n).

Links

Sean A. Irvine, Rows n=2..100 flattened

Sean A. Irvine, Java program (github)

Wikipedia, Dicyclic group

Example

Triangle begins:
  1, 1, 0,  6;
  1, 1, 2,  6, 0, 2;
  1, 1, 0,  1, 0, 0, 0, 4;
  1, 1, 0, 10, 4, 0, 0, 0, 0, 4;
  ...

Crossrefs

Cf. A054522, A057731.

Sequence in context: A358461 A197420 A128423 * A364129 A336179 A350034

Adjacent sequences: A345625 A345626 A345627 * A345629 A345630 A345631

Keyword

nonn,tabf

Author

Sean A. Irvine, Jun 22 2021

Status

approved