|
|
A065333
|
|
Characteristic function of 3-smooth numbers, i.e., numbers of the form 2^i*3^j (i, j >= 0).
|
|
23
|
|
|
1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Dirichlet inverse of b(n) where b(n) = 0 except for: b(1) = b(6) = -b(2) = -b(3) = 1. - Alexander Adam, Dec 26 2012
|
|
LINKS
|
|
|
FORMULA
|
a(n) = if n = A003586(k) for some k then 1 else 0.
Multiplicative with a(2^e) = a(3^e) = 1, a(p^e) = 0 for prime p > 3. Dirichlet g.f. 1/(1-2^-s)/(1-3^-s). - Franklin T. Adams-Watters, Sep 01 2006
|
|
MATHEMATICA
|
|
|
PROG
|
(Haskell)
a065333 = fromEnum . (== 1) . a038502 . a000265
|
|
CROSSREFS
|
|
|
KEYWORD
|
mult,nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|