OFFSET
1,5
REFERENCES
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].
LINKS
Koda, Tatsuhiko; Sato, Masaki; Takegahara, Yugen; 2-adic properties for the numbers of involutions in the alternating groups, J. Algebra Appl. 14 (2015), no. 4, 1550052 (21 pages).
EXAMPLE
Triangle begins:
1;
1;
1, 0, 2;
1, 3, 8;
1, 15, 20, 0, 24;
1, 45, 80, 90, 144;
1, 105, 350, 630, 504, 210, 720;
1, 315, 1232, 3780, 1344, 5040, 5760, 0, 0, 0, 0, 0, 0, 0, 2688;
1, 1323, 5768, 18900, 3024, 37800, 25920, 0, 40320, 9072, 0, 15120, 0, 0, 24192;
...
MATHEMATICA
row[n_] := (orders = PermutationOrder /@ GroupElements[AlternatingGroup[n] ]; Table[Count[orders, k], {k, 1, Max[orders]}]); Table[row[n], {n, 1, 9}] // Flatten (* Jean-François Alcover, Aug 31 2016 *)
PROG
(Magma) {* Order(g) : g in Alt(6) *};
CROSSREFS
KEYWORD
nonn,tabf,easy,nice
AUTHOR
Roger Cuculière, Oct 29 2000
EXTENSIONS
More terms from N. J. A. Sloane, Nov 01 2000
Missing zero in the row for A_9 inserted by N. J. A. Sloane, Mar 27 2015
STATUS
approved