|
| |
| |
|
|
|
0, 1, 1, -1, 1, -2, 1, 0, -1, -2, 1, 1, 1, -2, -2, 0, 1, 1, 1, 1, -2, -2, 1, 0, -1, -2, 0, 1, 1, 3, 1, 0, -2, -2, -2, 0, 1, -2, -2, 0, 1, 3, 1, 1, 1, -2, 1, 0, -1, 1, -2, 1, 1, 0, -2, 0, -2, -2, 1, -1, 1, -2, 1, 0, -2, 3, 1, 1, -2, 3, 1, 0, 1, -2, 1, 1, -2, 3, 1, 0, 0, -2, 1, -1, -2, -2, -2, 0, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,6
|
|
|
COMMENTS
| A010051 = A051731 * A143519 (since A051731 = the inverse Mobius transform).
|
|
|
FORMULA
| Mobius transform of A010051, the characteristic function of the primes. Row sums of triangle A143518
|
|
|
EXAMPLE
| a(4) = -1 since row 4 of triangle A043518 = (0, -1, 0, 0).
a(4) = -1 = (0, -1, 0, 1) dot (0, 1, 1, 0), where (0, -1, 0, 1) = row 4 of A054525 and A010051 = (0, 1, 1, 0, 1, 0, 1, 0,...).
|
|
|
PROG
| (Sage)
def A143519(n) :
D = filter(is_prime, divisors(n))
return add(moebius(n/d) for d in D)
[A143519(n) for n in (1..89)] # Peter Luschny, Feb 01 2012
|
|
|
CROSSREFS
| Cf. A010051, A143518, A054525, A137851.
Sequence in context: A178948 A203827 A194289 * A029376 A029359 A173389
Adjacent sequences: A143516 A143517 A143518 * A143520 A143521 A143522
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 22 2008
|
|
|
EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 19 2009
|
| |
|
|
