A051284 a(n) is the number k, 2^n < k < 2^(n+1), such that k/c(k) is a minimum in the interval, where c(k) is Hofstadter-Conway sequence A004001.

3, 6, 11, 23, 44, 92, 178, 370, 719, 1487, 2897, 5969, 11651, 22223, 45083, 89516, 181385, 353683, 722589, 1423078, 2903564, 5696576, 11635316, 22866150, 46704206, 91835554, 187298550

Offset

1,1

Comments

The ratio of k/c(k) (where c(k)=A004001) reaches a maximum of 2.0 when n is a power of 2. When n=6 the ratio has a relative minimum of 1.5, so a(2) = 6.

Links

Table of n, a(n) for n=1..27.

Crossrefs

Cf. A004001.

Sequence in context: A287425 A088052 A045693 * A319910 A369848 A346050

Adjacent sequences: A051281 A051282 A051283 * A051285 A051286 A051287

Keyword

nonn,more

Author

Jud McCranie

Extensions

a(26)-a(27) and title clarified by Sean A. Irvine, Sep 01 2021

Status

approved