|
|
A073112
|
|
Number of permutations p from (1,2,3,...,n) to (1,2,3,...,n) such that 1/(1+p(1)) + 1/(2+p(2)) + ... + 1/(n+p(n)) is an integer.
|
|
0
|
|
|
0, 0, 0, 1, 0, 7, 6, 30, 110, 278, 1332, 3312
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,6
|
|
LINKS
|
|
|
PROG
|
(PARI) a(n)=sum(k=1, n!, if(frac(sum(i=1, n, 1/(i+component(numtoperm(n, k), i)))), 0, 1))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|