|
|
A292307
|
|
a(n) is the smallest k > n such that psi(k) is the arithmetic mean of psi(k - n) and psi(k + n), or 0 if no such k exists.
|
|
0
|
|
|
15, 5, 26565, 7, 315, 11, 15, 11, 79695, 13, 15, 17, 75, 17, 56815934175, 22, 45, 23, 75, 23, 7767045, 55, 45, 29, 189, 38, 5005, 31, 75, 37, 45, 44, 116025, 37, 3795, 43, 135, 41, 345345, 43, 135, 47, 195, 110, 170447802525, 110, 118, 53, 105, 53, 451605, 76
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
It seems that a(n) tends to be quite large when n is an odd multiple of 15. We have a(15) = 56815934175, a(45) = 170447802525, a(75) = 284079670875, and a(105) > 10^12. - Giovanni Resta, Sep 15 2017
|
|
LINKS
|
|
|
EXAMPLE
|
For the equation psi(k - 3) + psi(k + 3) = 2*psi(k), the smallest solution is k = 26565.
|
|
PROG
|
(PARI) a001615(n) = my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1));
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|