Delange, Hubert Sur la fonction sommatoire de la fonction ’somme des chiffres’. (French) Zbl 0306.10005 Enseign. Math., II. Sér. 21, 31-47 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 81 Documents MSC: 11A25 Arithmetic functions; related numbers; inversion formulas 11A63 Radix representation; digital problems 11N37 Asymptotic results on arithmetic functions PDF BibTeX XML Cite \textit{H. Delange}, Enseign. Math. (2) 21, 31--47 (1975; Zbl 0306.10005) OpenURL Online Encyclopedia of Integer Sequences: Total number of 1’s in binary expansions of 0, ..., n. a(n) = a(n-1) + sum of digits of n.