1,3

Joshua Harrington, Lenny Jones, and Alicia Lamarche, Characterizing Finite Groups Using the Sum of the Orders of the Elements, International Journal of Combinatorics, Volume 2014, Article ID 835125, 8 pages.

For n = 4 there is 1 even permutation (1) of order 1, 3 even permutations (12)(34) etc. of order 2 and 8 (123) etc. of order 3, for a total of 31.

g[list_]:=Total[list]!/Apply[Times, list]/Apply[Times, Table[Count[list, n]!, {n, 1, 20}]]; f[list_]:=Apply[Plus, Table[Count[list, n], {n, 2, 20, 2}]]; Map[Total, Table[Map[g, Select[IntegerPartitions[n], EvenQ[f[#]]&]]*Map[Apply[LCM, #]&, Select[IntegerPartitions[n], EvenQ[f[#]]&]], {n, 1, 20}]] (* Geoffrey Critzer, Mar 26 2013 *)

Cf. A060014.

Sequence in context: A201116 A329944 A379424 * A261558 A241456 A094711

Adjacent sequences: A060012 A060013 A060014 * A060016 A060017 A060018

nonn,nice,easy

N. J. A. Sloane, Mar 17 2001

More terms from Vladeta Jovovic, Mar 18 2001

a(20)-a(22) from Pontus von Brömssen, Sep 13 2025

approved