A274176 Sum of terms in the continued logarithm expansion of n.

0, 1, 2, 2, 4, 3, 4, 3, 6, 5, 6, 4, 4, 5, 7, 4, 8, 7, 8, 6, 6, 7, 9, 5, 7, 5, 10, 6, 10, 8, 11, 5, 10, 9, 10, 8, 8, 9, 11, 7, 9, 7, 12, 8, 12, 10, 13, 6, 11, 8, 10, 6, 10, 11, 9, 7, 11, 11, 12, 9, 14, 12, 16, 6, 12, 11, 12, 10, 10, 11, 13, 9, 11, 9, 14, 10, 14, 12, 15, 8, 13, 10, 12, 8, 12, 13, 11, 9, 13, 13, 14, 11, 16, 14, 18, 7, 16, 12, 14, 9, 12, 11, 11, 7

Offset

1,3

Links

Table of n, a(n) for n=1..104.

Jon Borwein, Neil Calkin, Scott Lindstrom, and Andrew Mattingly, Continued logarithms and associated continued fractions, preprint, 2016.

Example

For n = 7 the expansion is <2,0,1,1> which sums to 4.

Crossrefs

Cf. A273126, which gives the length of the expansion (as opposed to the sum of terms as counted here).

Sequence in context: A347659 A224901 A366651 * A356148 A083742 A107331

Adjacent sequences: A274173 A274174 A274175 * A274177 A274178 A274179

Keyword

nonn

Author

Jeffrey Shallit, Jun 12 2016

Status

approved