|
Search: id:A060179
|
|
|
| A060179 |
|
Sum of distinct orders of degree-n permutations. |
|
+0
3
|
|
| 1, 3, 6, 10, 21, 21, 50, 73, 116, 167, 248, 385, 496, 728, 959, 1548, 1899, 2835, 3609, 5042, 6403, 8336, 12187, 15522, 21358, 26090, 35298, 44147, 62512, 76289, 101403, 123883, 156880, 200086, 254175, 335380, 413184, 505860, 615258, 810767, 980747
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
G.f.: Prod(p prime, 1 + Sum(k >= 1, p^k*x^(p^k))) / (1-x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 18 2002
|
|
EXAMPLE
|
Set of orders of all degree 7 permutations is {1,2,3,4,5,6,7,10,12) so a(7)=1+2+3+4+5+6+7+10+12=50.
|
|
CROSSREFS
|
Cf. A060014, A060015.
Cf. A009490.
Sequence in context: A018171 A122628 A068865 this_sequence A056411 A068855 A068882
Adjacent sequences: A060176 A060177 A060178 this_sequence A060180 A060181 A060182
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 19 2001
|
|
EXTENSIONS
|
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 29 2002
|
|
|
Search completed in 0.002 seconds
|
