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A274176
Sum of terms in the continued logarithm expansion of n.
0
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
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
KEYWORD
nonn
AUTHOR
Jeffrey Shallit, Jun 12 2016
STATUS
approved