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A095720
a(1)=1 and, for n>1, a(n)=a(n-1)+Floor(3n/4) if n is even, else a(n)=smallest positive integer which has not yet appeared in the sequence.
0
1, 3, 2, 5, 4, 8, 6, 12, 7, 15, 9, 18, 10, 20, 11, 23, 13, 27, 14, 29, 16, 32, 17, 35, 19, 39, 21, 42, 22, 44, 24, 48, 25, 51, 26, 53, 28, 56, 30, 60, 31, 63, 33, 66, 34, 68, 36, 72, 37, 75, 38, 77, 40, 80, 41, 83, 43, 87, 45, 90, 46, 92, 47, 95, 49, 99, 50, 101, 52, 104, 54
OFFSET
1,2
COMMENTS
Conjecture. For even n, the ratio a(n)/a(n-1) is asymptotic to 2 as n becomes large. (At n=3000, the ratio is 2.0004446.)
CROSSREFS
Cf. A094077.
Sequence in context: A340286 A194078 A169752 * A348542 A318460 A276582
KEYWORD
nonn
AUTHOR
John W. Layman, Jul 08 2004
STATUS
approved