OFFSET
1,2
COMMENTS
Apparently contains 2^(2k+1) and 2^k+2. - Ralf Stephan, Nov 10 2013
LINKS
Ramasamy Chandramouli, Table of n, a(n) for n = 1..17000
FORMULA
For n of form 2^k, we have a(n) = 4a(n-1) - 2 with a(1) = 2. For n of form 2^k + 2^(k-1), a(n) = 4a(n-1) with a(1) = 4.
EXAMPLE
a(5) = 10 because we have 5 > 4 > 3 > 2 > 1.
To follow a strict inequality we would have 5 + x > 4 + y > 3 > 2 > 1, where x >= 0, y >= 0.
The next level of inequality gives 1 + 5 + x > 2 + 4 + y > 3. This implies x > y.
Continuing with next level gives 3 + 6 + x > 6 + y. This gives x = 1, y = 0.
Hence 10 > 6 giving a(5) = 10.
CROSSREFS
KEYWORD
nonn,uned,obsc
AUTHOR
Ramasamy Chandramouli, May 23 2007
STATUS
approved