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.

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.)

Links

Table of n, a(n) for n=1..71.

Crossrefs

Cf. A094077.

Sequence in context: A340286 A194078 A169752 * A348542 A318460 A276582

Adjacent sequences: A095717 A095718 A095719 * A095721 A095722 A095723

Keyword

nonn

Author

John W. Layman, Jul 08 2004

Status

approved