A243036 Number of entries of length n in A240602.

2, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4, 2, 4, 4, 8, 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 32, 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 2, 4, 4, 8, 4

Offset: 1

Author

Lior Manor, May 29 2014

Keywords

• nonn
• base

Comments

For n>0, a(2^n) = 1.

For any base b, a(1) = b, a(2) = b-1, a(3) = b*(b-1), for m>1, a(2m) = a(m), a(2m+1) = b*a(m).

For any base b, a(n) = (b-1)*b^(A000120(n)-1).

Essentially the same as A048896. - R. J. Mathar, Jun 27 2014

Crossrefs

Cf. A240602, A243035, A000120.

Formula

a(1) = 2, a(2) = 1, a(3) = 2, For m>1, a(2m) = a(m), a(2m+1) = 2*a(m).

a(n) = 2^(A000120(n)-1).