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A144365
a(n) = floor(A143176(n+1)/A143176(n)) when A143176(n) < A143176(n+1); or -ceiling(A143176(n)/A143176(n+1)) when A143176(n) > A143176(n+1).
0
2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, -2, 1, 1, 2, -2, 3, -2, 1, 1, 4, -2, 1, 1, 1, -2, 2, -2, 3, -3, 1, 1, 1, 1, 3, -2, -2, 1, 3, -3, 3, -3, 1, 1, 3, -3, 1, 1, 1, 1, 3, -3, 1, 1, 1, 2, 2, -3, 5, -2, -2, 1, 1, 1, 4, -3, 1, 1, 5, -3, 5, -2, -2, 1, 1, 1, 3, -3, 1, 1, 3, -3, 1, 2, -2, 1, 4
OFFSET
1,1
COMMENTS
It appears that the multipliers approach infinity while the divisors approach some finite value, although both are increasing over the given range.
EXAMPLE
A143176(3) = 6, A143176(3) = 12, so a(3) = floor(12/6) = 2.
A143176(13) = 1560, A143176(14) = 1260, so a(13) = -ceiling(1560/1260) = -2.
CROSSREFS
Cf. A143176.
Sequence in context: A286582 A114729 A186037 * A152197 A049342 A112966
KEYWORD
sign
AUTHOR
Reikku Kulon, Sep 18 2008
EXTENSIONS
Edited and extended by Max Alekseyev, Feb 17 2011
a(64)-a(88) from Amiram Eldar, Feb 10 2024
STATUS
approved