OFFSET
0,1
COMMENTS
LINKS
FORMULA
Other identities:
EXAMPLE
Consider the first eight permutations (indices 0-7) listed in A060117:
1 [Only the first 1-cycle explicitly listed thus a(0) = 2^1 = 2]
2,1 [One transposition (2-cycle) in beginning, thus a(1) = 2^2 = 4]
1,3,2 [One fixed element in beginning, then transposition, thus a(2) = 2^1 * 3^2 = 18]
3,1,2 [One 3-cycle, thus a(3) = 2^3 = 8]
3,2,1 [One transposition jumping over a fixed element, a(4) = 2^2 * 3^1 = 12]
2,3,1 [One 3-cycle, thus a(5) = 2^3 = 8]
1,2,4,3 [Two 1-cycles, then a 2-cycle, thus a(6) = 2^1 * 3^1 * 5^2 = 150].
2,1,4,3 [Two 2-cycles, not crossed, thus a(7) = 2^2 * 5^2 = 100]
and also the seventeenth one at n=16 [A007623(16)=220] where we have:
3,4,1,2 [Two 2-cycles crossed, thus a(16) = 2^2 * 3^2 = 36].
PROG
CROSSREFS
Cf. A000040, A001222, A001221, A002110, A007814, A046660, A048675, A051903, A056169, A056170, A084558, A243054, A257510, A275723, A275803, A275832.
Cf. A275807 (terms divided by 2).
KEYWORD
nonn
AUTHOR
Antti Karttunen, Aug 09 2016
STATUS
approved