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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, 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 (list; graph; refs; listen; history; text; internal format)
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: A073354 A197420 A128423 * A336179 A133419 A010134

Adjacent sequences:  A345625 A345626 A345627 * A345629 A345630 A345631

KEYWORD

nonn,tabf

AUTHOR

Sean A. Irvine, Jun 22 2021

STATUS

approved

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Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)