A160692 - OEIS

A160692

Iteration of (k terms=k, followed by 2^k-k terms=0), beginning with k=0.

0, 1, 0, 2, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

For n with 2^k - 1 <= n < 2^k + k-1: a(n) = k;

for n with 2^k + k-1 <= n < 2^(k+1) - 1: a(n) = 0.

LINKS

Table of n, a(n) for n=0..90.

FORMULA

a(n) = f(n,0) with f(n,k) = if n<2^k then (if n<k then k else 0) else f(n-2^k,k+1).

CROSSREFS

A000225, A083706, A052944, A000918.